Question

What is the y-value of the y-intercept of the line y= −4x?

a) 0
b) 1
c) -4
d) 4

Answer 1

The y-value of the y-intercept for the equation y = −4x is 0, so the correct answer is option (a) 0.

Step-by-step explanation:

The y-value of the y-intercept of a line given in slope-intercept form, which is y = mx + b, is represented by the value 'b.' In the equation y = −4x, there is no explicit y-intercept term present. However, since there's no constant added to -4x, we can infer that the y-intercept is 0. Therefore, in the equation y = −4x, the y-intercept occurs where x is 0, and hence, the y-value at the y-intercept is 0. So, the correct option in the final answer is (a) 0.