SOLUTION: Write the slope intercept form of the equation of the line that passes through (-2, -3) and (2, -5).

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Question 380304: Write the slope intercept form of the equation of the line that passes through (-2, -3) and (2, -5).
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

m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

Points (-2, -3) and (2, -5)

 m = -5 - (-3)  / 2 - (-2) = -2/4 = -(1/2)

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

where m is the slope and b the y-intercept  m = -(1/2)

y = -(1/2)x + b   Using ordered pair pt(2,-5) to solve for b

-5 = -1 = b

-4 = b

y = -(1/2)x -4              pt(0,-4) the y intercept