Find the y-intercept b of the line that goes through the point P=(−4,2) with slope m=9. (given that the function is written in the form of y=ax+b)​

Intercept, b = 38

Explanation:

Given the following data;

Point on x-axis = -4

Point on y-axis = 2

Slope, a = 9

To find the y-intercept (b);

Mathematically, the equation of a straight line is given by the formula;

y = ax + b.

Where;

a is the slope.

x and y are the points on the line.

b is the intercept.

Substituting into the formula, we have;

2 = 9(-4) + b

2 = -36 + b

b = 36 + 2

Intercept, b = 38