How do I write the equation for the line through (4,7) and -2,1) in slope-intercept form?

Question

dan815 · Answer

hey

dan815 · Answer

both of these 2 points belong on the same line, a line has constant slope , which means the same ratio of rise over run

dan815 · Answer

y=mx+b
$$given~~points~~p1~and~p2~where~p1=(x1,y1)~~and~p2=(x2,y2)\
y-y1=(x-x1)
\m=\frac{y1-y2}{x1-x2}\
you~can~rearrange~into~y=mx+b, where~b~is~a~constant\~and~its~also~known~as~ the~y-intercept$$
as the y-intercept happens when x=0
so
y=m(0)+b,
y=b when x=0
so b is the yintercept

dan815 · Answer

oh the equation of the line in there is 
y-y1=m(x-x1)

dan815 · Answer

we rearrange that into slope intercept form

hero · Answer

@Poohbear_Sophmore do you know how to find the slope of the line given two points?

anonymous · Answer

@Hero Um I guess not? Should I graph it first to find the slope?