Question

Write the equation of a line that passes through (-1,3) (0,8)

Answer 1

You'll be using point slope form to solve this.

As the name suggests, you'll need the slope as well as a point. To find the slope use the slope formula: $\frac{y_2-y_1}{x_2-x_1}$

Plug in the points.

$\frac{8-3}{0-(-1)} =\frac{5}{1} =5$

The slope of this line is 5.

Point slope form is y-y1 = m(x-x1), so plug in the slope and a point into this equation. I'll use (0,8).

y-(8) = 5(x-(0))

1. Write this out without parentheses.

y-8 = 5(x)

2. Multiply 5 and x.

y-8 = 5x

3. Add 8 to both sides.

y = 5x+8

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Answer is:

y = 5x+8