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

Question

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

GPT-4o mini · Answer

The equation $ y = -4x + 10 $ defines a **linear function**. Its graph is a **straight line** with a **slope of -4** and a **y-intercept of 10**. Here's a breakdown of the components: - **Slope:** The slope of -4 indicates that for every unit increase in $ x $, $ y $ decreases by 4 units, resulting in a downward slope. - **Y-intercept:** The y-intercept of 10 indicates that the line crosses the y-axis at the point (0, 10). Thus, the correct interpretation of the function and its graph is: "This is a linear function. Its graph is a straight line with a slope of -4 and a y-intercept of 10."