Answer:
[tex]y = \frac{2}{3}x + 4[/tex]
Step-by-step explanation:
The formula for finding equation of straight line is given as :
[tex]y = mx + c[/tex]
where :
m = slope
c = y - intercept = 4
To calculate the slope , we will use :
slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]x_{1} = -6[/tex]
[tex]x_{2} = 0[/tex]
[tex]y_{1}= 0[/tex]
[tex]y_{2}=4[/tex]
substituting into the formula , we have :
slope = [tex]\frac{4-0}{0-(-6)}[/tex]
[tex]m = \frac{4}{6}[/tex]
[tex]m = \frac{2}{3}[/tex]
substituting into the formula for finding equation of line , we have
[tex]y = \frac{2}{3}x + 4[/tex]
