Question 367470
You can start with the slope-intercept form: {{{y = mx+b}}}
Find the slope:
{{{m = (y[2]-y[1])/(x[2]-x[1])}}} Substitute the x- and y-coordinates from the two given points: (-1,-5) and (-4,-9).
{{{m = (-9-(-5))/(-4-(-1))}}} Evaluate.
{{{m = (-9+5)/(-4+1)}}}
{{{m = (-4)/-3}}}
{{{m = 4/3}}} So now you have:
{{{y = (4/3)x+b}}} Substitute the x- and y-coordinate values from any one of the tw given points and solve for b.
{{{-5 = (4/3)(-1)+b}}} Evaluate.
{{{-5 = -4/3 + b}}} Add {{{4/3}}} to both sides.
{{{-11/3 = b}}} The final eaquation is:
{{{highlight(y = (4/3)x-11/3)}}}