Interpret the equation y=−4x+10

Question

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

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 linear function. Its graph is a straight line with a slope of −4
−
4
and a y
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 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
)
.

Answer 1

The equation \( y = -4x + 10 \) represents a linear function.

In this equation:

• The slope (m) is -4, which means the line descends as it moves from left to right (for every unit increase in \( x \), \( y \) decreases by 4).
• The y-intercept (b) is 10, meaning the line intersects the y-axis at the point (0, 10).

So, the correct interpretation is: This is a linear function. Its graph is a straight line with a slope of negative 4 and a y-intercept of 10.