Question 117108
The line goes through the points (-20,0) and (0,-5)
The slope equation is:
{{{m = (y[2] - y[1]) / (x[2] - x[1])}}}
P[1] is (x[1],y[1]) = (-20,0)
P[2] is (x[2],y[2]) = (0,-5)
{{{m = (-5 - 0) / (0 - (-20))}}}
{{{m = (-5) / 20}}}
{{{m = -(1/4)}}}
The slope -intercept form of a line is
{{{y = mx + b}}}
so far, I have
{{{y = -(1/4)x + b}}}
{{{b}}} is the y-intercept. Given that the line goes through (0,-5),
{{{b = -5}}}
{{{y = -(1/4)x - 5}}} answer
check answer
Does the line go through the given points?
(-20,0)
{{{y = -(1/4)x - 5}}}
{{{0 = -(1/4)*(-20) - 5}}}
{{{0 = 5 - 5}}}
OK
(0,-5)
{{{-5 = -(1/4)*0 - 5}}}
{{{-5 = -5}}}
OK