Question

Help me with this question please

Answer 1

First find the equation of the line:

y - b = m (X - a)
y - 5 = 2/3 (X + 2)
3y - 15 = 2 (X + 2)
3y - 15 = 2x + 4
3y = 2x + 19

Then sub the y-value of A into the equation to find X.

y = 3
3(3) = 2x + 19
9 = 2x + 19
2x = 10
X = 5

And sub the X-value of B into the equation to find y.

X = -2
3y = 2(-2) + 19
3y = -4 + 19
3y = 15
y = 5