Which best describes the function below?
Which best describes the function below?
\( y=2-3x \)
A linear function has a slope of -3 and passes through the point \( (-6,-3) \).
Choose the equation that represents the function.
A linear function with a slope of 5 passes through the point \( (2,4) \).
Choose the equation that represents this function.
A linear function with a slope of 6 passes through the point \( (1,1) \).
Which equation represents the function?
A linear function with a slope of 6 passes through the point \( (1,-4) \).
Which equation represents the function?
Which best describes the function below?
To determine the characteristic of the function , we will evaluate the slope:
Therefore, the function described by is decreasing.
The function is decreasing.
A linear function has a slope of -3 and passes through the point .
Choose the equation that represents the function.
To determine the equation of the given linear function, follow these steps:
Now, let's go through the process:
Use the point-slope form:
Simplify the equation:
Distribute the slope on the right side:
Subtract 3 from both sides to solve for :
which simplifies to:
This equation, , matches the first choice in the provided options.
Therefore, the equation that represents the function is .
A linear function with a slope of 5 passes through the point .
Choose the equation that represents this function.
To solve for the equation of a line given a slope and a point:
Substituting into the point-slope form, we have:
Distribute the 5 across the terms in the parentheses:
Add 4 to both sides to solve for :
This simplifies to:
Therefore, the equation of the line is .
The correct choice among the options given is .
A linear function with a slope of 6 passes through the point .
Which equation represents the function?
To solve the problem of finding the equation of the linear function, we will use the point-slope form, which is:
Step-by-step:
Step 1: Identify given information: The slope and the point .
Step 2: Substitute the slope and point into the point-slope form:
Step 3: Simplify the equation:
Step 4: Solve for to express in slope-intercept form :
Step 5: Simplify the right-hand side:
Thus, the equation of the linear function is .
A linear function with a slope of 6 passes through the point .
Which equation represents the function?
To solve the problem, we will determine the equation of a line using the point-slope form. The general formula for a line in point-slope form is:
Given the slope and the point , we can substitute these values into the formula:
Simplifying the equation, we get:
Now, we want to express this in slope-intercept form . So, we solve for :
Finally, combining like terms gives us the equation:
Therefore, the equation that represents the function is .
The correct answer choice is:
A linear function has a slope of 1 and passes through the point \( (6,13) \).
Choose the equation that represents this function.
Calculate the slope of the line that passes through the points \( (4,1),(2,5) \).
What is the slope of a straight line that passes through the points \( (0,0),(-8,2) \)?
Calculate the slope of a straight line that passes through the points \( (-6,1),(2,4) \).
What is the slope of a straight line that passed through the points \( (0,4),(-5,6) \)?
A linear function has a slope of 1 and passes through the point .
Choose the equation that represents this function.
To solve this problem, we'll follow these steps:
Step 1: Use the point-slope form with the given point and slope.
Step 2: Simplify the equation to slope-intercept form.
Step 3: Identify the correct equation from the options.
Now, let's work through each step:
Step 1: Apply the point-slope form formula:
Given the point and the slope , the point-slope form is:
Step 2: Simplify to get the equation in slope-intercept form:
Step 3: Compare to find the correct answer:
From the simplified equation , the correct choice is:
Therefore, the equation representing the function is .
Calculate the slope of the line that passes through the points .
Remember the formula for calculating a slope using points:
Now, replace the data in the formula with our own:
-2
What is the slope of a straight line that passes through the points ?
To solve the problem, remember the formula to find the slope using two points
Now, we replace the given points in the calculation:
Calculate the slope of a straight line that passes through the points .
To solve this problem, we'll follow these steps:
Step 1: Identify the coordinates of the given points.
Step 2: Substitute these values into the slope formula.
Step 3: Simplify to find the slope.
Now, let's work through each step:
Step 1: Given points are and . Thus, we have:
, .
Step 2: Apply the slope formula:
Step 3: Simplify:
Calculate the numerator: .
Calculate the denominator: .
Thus, the slope is:
Therefore, the solution to the problem is .
What is the slope of a straight line that passed through the points ?
To solve this problem, we'll follow these steps:
Now, let's compute the slope:
Step 1: The points given are and .
Step 2: Apply the slope formula:
The slope is given by:
Substitute the known values:
Step 3: Simplify the expression:
Thus, the slope of the line passing through the points and is .
Therefore, the solution to the problem is .