SOLUTION: Use slope-intercept form to write the equation of the line with the given properties. Write each equation in slope-intercept form. Passing through P(-4,5) and Q(2, -6)

Algebra ->  Linear-equations -> SOLUTION: Use slope-intercept form to write the equation of the line with the given properties. Write each equation in slope-intercept form. Passing through P(-4,5) and Q(2, -6)      Log On


   



Question 799481: Use slope-intercept form to write the equation of the line with the given properties. Write each equation in slope-intercept form.
Passing through P(-4,5) and Q(2, -6)

Found 2 solutions by lwsshak3, josgarithmetic:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use slope-intercept form to write the equation of the line with the given properties. Write each equation in slope-intercept form.
Passing through P(-4,5) and Q(2, -6)
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Equation of a line: y=mx+b, m=slope, b=y-intercept
slope=∆y/∆x=(-6-5)/(2+4)=-11/6
Equation:
y=-11x/6+b
solve for b using coordinates from one of given points (-4,5)
5=-11*(-4)/6=b
5=44/6+b
30=44+6b
6b=-14
b=-14/6=-7/3
Equation:: y=-11x/6-7/3

Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Slope-intercept form shows y as a function of x.
y=mx+b, m is slope and b is y-intercept. Solving for b, you have b=y-mx.

PQ gives slope m=%28-6-5%29%2F%282-%28-4%29%29=highlight%28-11%2F6%29.

Use the formula for b and pick either given point to compute b.
b=-6-%28-11%2F6%29%2A2.......

...and you have/should have all the needed parts for the slope-intercept equation.