A line passes through point (-10, – 4) and has a slope of -3/2 Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.

9514 1404 393

  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

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

98%

step-by-step explanation: