Question

Write an equation in standard form for a line that passes through (2,2) and (0,-3).

Answer 1

So,

The standard form is:
y = mx + b

First, we find "m," the slope.  Subtract the y-coordinates from each other.  Do likewise with the x-coordinates.

2 - -3 = 5
2 - 0 = 2

Slope = 5/2

$y= \frac{5}{2} x+b$

Now, we can substitute the second solution into this equation for x and y and solve for "b."

$-3= \frac{5}{2} *0+b$

$-3= b$

Now we have our complete equation.

$y= \frac{5}{2} x-3$