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How do you write the point slope form of the equation of the line that passes through (4,2) and parallel to #y=-3/4x - 5#?

Answer 1

Your line must have the same slope (=same inclination) of the given line and must intercept point (#4,2#): So: #y-y_0=m(x-x_0)# #y-2=-3/4(x-4)# or:

#y=-3/4x+5#

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Answer 2

Eli Assouline

The point-slope form of the equation of a line passing through point ((x_1, y_1)) and parallel to (y = mx + b) is (y - y_1 = m(x - x_1)). Given the point ((4, 2)) and the parallel line (y = -\frac{3}{4}x - 5), substitute (x_1 = 4), (y_1 = 2), and (m = -\frac{3}{4}) into the point-slope form equation to obtain the desired equation of the line.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.