Question 980768
Hey my name is Andrea and I have a more question I need help with : 

Write the equation of a line in point slope form that goes through (2, -4) and (-1, 0). Then convert into slope intercept form. 
<pre>m, or slope = {{{(y[1] - y[2])/(x[1] - x[2])}}}
m, or slope = {{{(- 4 - 0)/(2 - - 1)}}} ----- Substituting {{{- 4}}}{{{for}}}{{{y[1]}}}, {{{0}}}{{{for}}}{{{y[2]}}}, {{{2}}}{{{for}}}{{{x[1]}}}, and {{{- 1}}}{{{for}}}{{{x[2]}}}
m, or slope = {{{(- 4)/(3)}}}
{{{y - y[1] = m(x - x[1])}}} ------------ Point-slope form:
{{{y - 0 = - (4/3)(x - - 1)}}} ------- Substituting {{{0}}}{{{for}}}{{{y[1]}}}, {{{- 1}}}{{{for}}}{{{x[1]}}}, and {{{- 4/3}}}{{{for}}}{{{m}}}
{{{highlight_green(y = (- 4/3)x - 4/3)}}} ------------- Slope-intercept form