Question

Write the slope intercept form of the equation given the point (-2,4) and a slope of 3

Answer 1

Given the points:

(x, y) ==> (-2, 4)

slope, m = 3

To write the slope intercept form, use the form below:

y = mx + b

Where m = slope and b = y-intercept.

Now, substitute -2 for x, 4 for y, and m for 3 in the equation above to solve for b.

We have:

y = mx + b

4 = 3(-2) + b

4 = -6 + b

Add 6 to both sides:

4 + 6 = -6 + 6 + b

10 = b

b = 10

Therefore, the slope intercept form of the equation is:

y = 3x + 10

ANSWER:

y = 3x + 10