Interpret the equation y=−4x+10 . What type of function does this equation define? Describe its graph.
A. This is a nonlinear function. Its graph has a maximum at (0,10).
B. This is a nonlinear function. Its graph is a curve.
C. This is a linear function. Its graph is a straight line with a y-intercept of −4 and a slope of 10.
D. This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10.
C. This is a linear function. Its graph is a straight line with a y-intercept of −4 and a slope of 10.
The equation y=−4x+10 is in the form of y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -4 and the y-intercept is 10. This means the graph is a straight line that goes through the point (0,10) and has a slope of -4.