Question

nterpret the equation y=−4x+10
. What type of function does this equation define? Describe its graph.(1 point)
Responses

This is a nonlinear function. Its graph is a curve.
This is a nonlinear function. Its graph is a curve.

This is a linear function. Its graph is a straight line with a y
-intercept of −4
and a slope of 10.
This is a linear function. Its graph is a straight line with a y -intercept of negative 4 and a slope of 10.

This is a nonlinear function. Its graph has a maximum at (0,10)
.
This is a nonlinear function. Its graph has a maximum at left parenthesis 0 comma 10 right parenthesis .

This is a linear function. Its graph is a straight line with a slope of −4
and a y
-intercept of 10.

Answer 1

Correct choice: "This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10."

Explanation: y = −4x + 10 is in slope–intercept form y = mx + b with slope m = −4 and y-intercept b = 10 (point (0,10)). The line falls to the right (decreasing). The x-intercept is at x = 10/4 = 2.5 (point (2.5, 0)).