SOLUTION: find an equation of the line containing the given pair of points (-7, -6) and (-4, -8) the equation of the line in slope-intercept form is y=?

Algebra ->  Inequalities -> SOLUTION: find an equation of the line containing the given pair of points (-7, -6) and (-4, -8) the equation of the line in slope-intercept form is y=?      Log On


   

Question 380964: find an equation of the line containing the given pair of points
(-7, -6) and (-4, -8)
the equation of the line in slope-intercept form is y=?
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

(-7, -6) and (-4, -8)

 m = [-8 -(-6)]  / [-4 - (-7)]  = -2/3

Using 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 = (-2/3)x + b Using ordered pair Pt(-4,-8) to solve for b

-8 = (-2/3)*(-4)  + b

-24/3 - 8/3 = b

 -32/3 = b

y = (-2/3)x  - 32/3