Question

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

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 .

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, so m = −4 (slope) and b = 10 (y-intercept). The line passes through (0,10) and for each increase of 1 in x, y decreases by 4.