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)
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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