SOLUTION: Choose the equation in slope-intercept form for the line passing through each pair of points. (–1, 3) and (2, –5)

Algebra.Com
Question 394758: Choose the equation in slope-intercept form for the line passing through each pair of points.
(–1, 3) and (2, –5)

Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Using the point-slope formula, to find slope
(–1, 3) and
(2, –5) m = 3 -(-5) /-1-2 = 8/-3 Slope m = -(8/3)
the standard slope-intercept form for an equation of a lineis: y = mx + b
where m is the slope and b the y-intercept.
y = -(8/3)x + b | using ordered pair Pt(-1,3) to solve for b
3 = 8/3 + b
1/3 = b
y = -(8/3)x + 1/3
Note: as y increases/decreases by 8, x value changes by 3 in the opposite direction


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The slope will be (change in y)/(change in x)


The slope-intercept form is
So far I have
If I substitute (-1,3) in the equation:




The equation is:

check:
does it go through (2,-5) ?



OK

RELATED QUESTIONS

Choose the equation in slope-intercept form for the line passing through each pair of... (answered by josmiceli)
Write the equation in slope-intercept form for the line passing through each pair of... (answered by jim_thompson5910,solver91311)
Find an equation in slope-intercept form for the line passing through each pair of... (answered by Alan3354)
write an equation in slope intercept form for the line passing through each pair of... (answered by Edwin McCravy)
ok I have to write and equation in slope-intercept form for the line passing through each (answered by stanbon)
write an expression in slope-intercept form for the line passing through each pair of... (answered by rfer)
find the equation of the line (in slope-intercept form) passing through each pair of... (answered by josmiceli)
write an equation in slope intercept form of the line passing through each pair of... (answered by jim_thompson5910)
write an equation in slope-intercept form of the line passing through each pair of... (answered by MathLover1)