Question

What is the y-intercept of a line that has a slope of 3 and passes through point (-1, -7)?

a. -10
b. 4
c. 3
d. 7

Answer 1

The y-intercept of the line is -4.

Step-by-step explanation:

The y-intercept of a line can be found using the equation y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the slope is 3. We can substitute the coordinates (-1, -7) into the equation to find the value of b.

-7 = 3(-1) + b

-7 = -3 + b

b = -4

So, the y-intercept is -4. Therefore, the correct option is a. -10.