Question

Use the order pairs to find the linear equation in slope intercept form (0,10) & (3,2)

Answer 1

$y = \frac{-8}{3}x + 10$ is the equation in slope intercept form

Solution:

Given points are (0, 10) and (3, 2)

We have to find the slope intercept form

Let us first find the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) =(3,2)$

Substituting the values we get,

$m = \frac{2-10}{3-0}\\\\m = \frac{-8}{3}$

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Substitute $m = \frac{-8}{3}$ and (x , y) = (0, 10) in eqn 1

$10 = \frac{-8}{3} \times 0 + c\\\\c = 10$

$Substitute\ m = \frac{-8}{3}\ and\ c = 10\ in\ eqn\ 1$

$y= \frac{-8}{3}x + 10$

Thus the equation of line in slope intercept form is found