Question

Write an equation of the line below​

Answer 1

Answer:

y = 3/5 + 4

Step-by-step explanation:

Given Coordiantes:

(0,4) - Y-intercept

(5,7) - Coordinates

To make an equation, first find the slope.

$m=\frac{rise}{run} =\frac{y}{x}$

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

$m=\frac{7-4}{5-0}$

$m=\frac{3}{5}$

In decimals:

$m = 0.6$

Now convert to point slope.

$y-y_{1} =m(x-x_{1} )$

$y-4=\frac{3}{5} (x-0)$

In decimals:

$y-4=0.6(x-0)$

Now convert to slope-intercept form.

Find the Equation of the Line:

$y=mx+b$

by solving for y using the Point Slope Equation.

y = 3/5 + 4