Question

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

1.This is a linear function. Its graph is a straight line with a y-intercept of −4 and a slope of 10.
2.This is a nonlinear function. Its graph is a curve.
3.This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10.
4.This is a nonlinear function. Its graph has a maximum at (0,10).

Answer 1

[AI-generated answer — Bot GPT 3.5]

1. This is a linear function. Its graph is a straight line with a y-intercept of 10 and a slope of -4. The graph will slope downward from left to right, with each unit increase in x resulting in a decrease of 4 units in y. The line will intersect the y-axis at the point (0, 10) and the x-axis at the point (2.5, 0) (since x=2.5 when y=0). The graph will have a negative slope and extend to infinity in both directions.