Write an equation in the slope intercept form for the line that satisfies
Question Description
passes through 10,6 perpendicular to the graph of 9x+12y=15
Tutor Answer
(10 , 6)
9x + 12y = 15
12y = -9x + 15
Dividing by 12 on both sides , we get
12y / 12 = -9x/12 + 15 / 12
y = -3/4 * x + 5/4
Slope = -3/4
A line perpendicular to given line will be 4/3
Point (10,6)
(y - 6) = 4/3(x - 10)
3(y - 6) = 4(x - 10)
3y - 18 = 4x - 10
adding 18 on both sides, we get
3y = 4x + 18 -10
3y = 4x + 8
dividing by 3 on both sides ,we get
y = 4/3 * x + 8/3
HENCE Equation of slope intercept form is y = 4/3 * x + 8/3
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