Question

Write the slope-intercept form of the equation of the line that is parallel to and passes through Point X. Show all work for full credit. A= (-10,8) B= (2,3) X= (-5,10)

Answer 1

Y=1/2x+4 this is the way I was taught let me know if It makes since to you

Answer 2

step $1$

Find the slope m between the points AB

we know that

the formula to calculate the slope is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

$A= (-10,8)\\B= (2,3)$

substitute the values

$mAB=\frac{(3-8)}{(2+10)}$

$mAB=\frac{(-5)}{(12)}$

step $2$

Find the equation of the line that passes through Point X and is parallel to AB

we know that

if two lines are parallel, then their slopes are the same

so

$m=-5/12$

Point $X(-5,10)$

the slope-intercept form of the equation of the line is equal to

$y=mx+b$

substitute the values

$10=(-5/12)*(-5)+b$

$10=(25/12)+b$

$b=(95/12)$

the equation is equal to

$y=(-5/12)x+(95/12)$

therefore

the answer is

$y=(-5/12)x+(95/12)$

see the attached figure to better understand the problem