Answer:
Equation of line: y = [tex]\frac{2}{5}x[/tex]
Step-by-step explanation:
So we have to calculate the slope. The formula is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Slope = [tex]\frac{300-200}{750-500}[/tex] = [tex]\frac{100}{250}[/tex] = [tex]\frac{10}{25}[/tex] = [tex]\frac{2}{5}[/tex]
We then need to calculate the Y-intercept.
The formula is [tex]y - y_{1} = m(x - x_{1} )[/tex]
y - 200 = [tex]\frac{2}{5}[/tex](x - 500)
y - 200 = [tex]\frac{2}{5}[/tex]x - 200
Add 200 to both sides
y = [tex]\frac{2}{5}x[/tex]
There y-intercept is 0 which is the origin (0,0)
