Question

WILL GIVE MEDAL
Given two points, write the equation of the line in slope-intercept form
(-3,4),(1,-2)
PLEASE SHOW WORK

Answer 1

\[\frac{ -2-4 }{ 1-(-3) }=\frac{ -3 }{ 2 }\]

Answer 2

This is your slope

Answer 3

Plug in a set of coordinates into point intercept form y-4=-3/2(x-(-3))

Answer 4

\[y=\frac{ -3 }{ 2 }x-\frac{ 1 }{ 2 }\]

Answer 5

\[m=\frac{ -2-4 }{ 1-(-3) }=\frac{ -3 }{ 2 } \]

Answer 6

\[(y _{1}-y _{2})=m(x _{1}-x _{2}) slope-intercept form\]

Answer 7

\[\frac{ y^2-y^1 }{ x^2-x^1 }\]

So:

\[\frac{ -2-4 }{ 1-(-3) }= \frac{ -6 }{ 4 }=\frac{ -3 }{ 2 }\]

Plug in -3/2 for m in the equation: y=mx+b

y=-3/2x+b

Then pick a point and plug in the x and the y:

\[y=\frac{ -3 }{ 2 }x+b\]

I'll use (1, -2):

\[-2=\frac{ -3 }{ 2 }(1)+b\]

Solve it out:

\[-2=\frac{ -3 }{ 2 }+b\]

Add -3/2 to -2 and your answer is:

\[y=\frac{ -3 }{ 2 }x - \frac{ 1 }{ 2 }\]