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

(1 point)

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

• This is a nonlinear function. Its graph has a maximum at (0, 10).

O This is a nonlinear function. Its graph is a curve.

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

The first statement is correct: y = -4x + 10 defines a linear function. Its graph is a straight line that has a slope of -4 (meaning that for every increase of 1 in x, the corresponding y value decreases by 4) and a y-intercept of 10 (where the line intersects the y-axis at the point (0, 10)).