Question

Write this in standard form
Y-intercept=(-2,5) slope : 4 over 3

Answer 1

The equation of the line in standard form is

$y=mx+b,$ where m is the slope.

Thus, the equation of line is

$y=\dfrac{4}{3}x+b.$

Since point (-2,5) is point on the line, then

$5=\dfrac{4}{3}\cdot (-2)+b,\\ \\b=5+\dfrac{8}{3}=\dfrac{23}{3}.$

The equation of the liine is

$y=\dfrac{4}{3}x+\dfrac{23}{3}.$