#1**+3 **

We're given a point and a slope so we can easily write the equation of the line in point-slope form.

The equation of the line in point-slope form is....

y - -4 = -\(\frac38\)(x - 5)

Now we just need to get this equation into standard form.

The standard form of a line is Ax + By = C where A is a positive integer, and B and C are integers.

y - -4 = -\(\frac38\)(x - 5)

y + 4 = -\(\frac38\)(x - 5)

Multiply both sides of the equation by 8 .

8(y + 4) = -3(x - 5)

Distribute the 8 and the -3

8y + 32 = -3x + 15

Add 3x to both sides of the equation.

3x + 8y + 32 = 15

Subtract 32 from both sides.

3x + 8y = -17

Now the equation is in standard form. Here's a graph: https://www.desmos.com/calculator/momem4spgv

hectictar Jun 3, 2019