The slope of the line that contains the points (-2, -1) and (3, 19) is 4. find the y-intercept.
a. -7
b. -2
c. 2
d. 7

D. 7

Step-by-Step Explanation:

To solve this problem, we need to know a certain equation: the equation of a line in the slope-intercept form:

y = mx + b; where m = slope and b = y-intercept.

First, substitute the known values into the equation. I will use the coordinate (3, 19) for x and y values.

y = 19

m = 4

x = 3

b = ?

19 = (4)(3) + b

Then, all we have to do is solve for b.

19 = (4)(3) + b

19 = 12 + b

19 - 12 = 12 + b - 12

7 = b

So, the y-intercept of the line is 7.

Hope this helps!

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point