SOLUTION: Write the equation of the line through (5, -3) and (-2, -8) in slope-intercept form

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Question 380258: Write the equation of the line through (5, -3) and (-2, -8) in slope-intercept form
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 to determine the slope

Pts: (5, -3) and (-2, -8)

m = -8 -(-3) / -2-5  = -5/-7 = 5/7

m = 5/7 is the slope of the line

the standard slope-intercept form for an equation of a line y = mx + b  

where m is the slope and b the y-intercept

y = 5/7)x + b using ordered pair Pt(-2,-8) to solve for b

-8 = -10/7 + b

-46/7 = b  

y = (5/7)x - 46/7