Question

Find an equation of the line passing through the given points. Use function notation to write the equation.

Answer 1

Step-by-step explanation:

First, find the slope of the line using the slope formula where (1, -3) = (x1, y1) and (3, 7) = (x2, y2).

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{7 - ( - 3)}{3 - 1}$

$m = \frac{10}{2} = 5$

Use point-slope form to find the equation.

$y - y1 = m(x - x1)$

$y - ( - 3) = 5(x - 1)$

$y + 3 = 5x - 5$

Subtract 3 on both sides

$y = 5x - 8$

To put the equation in function notation, simply change the y to f(x) and you'll get

f(x) = 5x - 8