Question

Interpret the equation y=−4x+10
𝑦
=
−
4
𝑥
+
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
𝑦
-intercept of −4
−
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)
(
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
−
4
and a y
𝑦
-intercept of 10.

Answer 1

This is a linear function. Its graph is a straight line with slope −4 and y-intercept 10 (point (0, 10)). The line falls 4 units for every 1 unit to the right; it crosses the x-axis at x = 2.5 (point (2.5, 0)).