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.
[tex]m=\frac{rise}{run} =\frac{y}{x}[/tex]
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m=\frac{7-4}{5-0}[/tex]
[tex]m=\frac{3}{5}[/tex]
In decimals:
[tex]m = 0.6[/tex]
Now convert to point slope.
[tex]y-y_{1} =m(x-x_{1} )[/tex]
[tex]y-4=\frac{3}{5} (x-0)[/tex]
In decimals:
[tex]y-4=0.6(x-0)[/tex]
Now convert to slope-intercept form.
Find the Equation of the Line:
[tex]y=mx+b[/tex]
by solving for y using the Point Slope Equation.
y = 3/5 + 4
