Question

What are the coordinates of the y-intercept of y=-10x?

a) (0,-10)
b) (0,10)
c) (0,0)
d) (1,-10)

Answer 1

The coordinates of the y-intercept for the equation y = -10x are (0, 0) because when x is set to zero, y is also zero.

Step-by-step explanation:

The coordinates of the y-intercept of the equation y = -10x can be determined by setting x to zero and solving for y. In the slope-intercept form of a line, which is y = mx + b, the y-intercept is represented by b. Here m is the slope (-10) and b would be the y-coordinate of the y-intercept. Since there is no +b in the equation, this implies that b = 0. Therefore, when x is 0, y is also 0, yielding the point (0, 0) at the y-intercept.