SOLUTION: Write an equation in slope-intercept form for an equation of a line perpendicular to y=-3x+1 and that intersects at point (1, 2/3).
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Question 764014: Write an equation in slope-intercept form for an equation of a line perpendicular to y=-3x+1 and that intersects at point (1, 2/3). Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Gradients of lines that are perpendicular
have gradients (slopes) that multiply
together to give -1
y = -3x + 1
Gradient (Slope) = - 3
So, gradient of other line = 1/3
Using equation:
y - b = m(x - a) and (1, 2/3)
y - 2/3 = 1/3(x - 1)
y - 2/3 = 1/3x - 1/3
y = 1/3x - 1/3 + 2/3
y = 1/3x + 1/3
OR
Multiply through by 3
3y = x + 1
Hope this helps.
:-)
