Interpret the equation y=−4x+10

Question

. 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 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 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)
.
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
-intercept of −4
and a slope of 10.

Answer 1

The correct interpretation of the equation \( y = -4x + 10 \) is:

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

This linear function has a slope of -4, which means that for each unit increase in \( x \), the value of \( y \) decreases by 4. The y-intercept of 10 indicates that the line crosses the y-axis at the point (0, 10). Overall, the graph represents a straight line descending from left to right.