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 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 y
𝑦
-intercept of −4
and y intercept of 10

Answer 1

y = −4x + 10 defines a linear function. Its graph is a straight line with slope −4 and y‑intercept 10 (point (0,10)). The line is decreasing (for each 1 increase in x, y decreases by 4). It crosses the x‑axis at x = 2.5 (point (2.5, 0)).