Respuesta :
9514 1404 393
Answer:
3x +2y = -38
Step-by-step explanation:
When a point and the slope are given for a line, the point-slope form of the equation is useful.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = -3/2(x -(-10))
y + 4 = -3/2x -15
Multiplying by 2 gives ...
2y +8 = -3x -30
Adding 3x-8, we get ...
3x +2y = -38

Answer:
3x + 2y = -38
Just plug in the x and y values to get the answer!
We already know that when x is -10 y = -4 so all we have to do is substitute them.
y = mx + b
-4 = -3/2(-10) + b
-4 = 30/2 + b
-4 = 15 + b
-19 = b