+9466 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
