Question

Passes through (6 1) and is perpendicular to the line 3x-4y=2 standard form

Answer 1

Answer:

1⅓x + y = 9

Step-by-step explanation:

Convert the Standard Form of the given line to Slope-Intercept Form:

1. -4y = -3x + 2 [Move -3x to the right side of the equivalence symbol]
2. y = ¾x - ½ [Divide everything by -4]

Then, after getting your equation, take the OPPOSITE MULTIPLICATIVE INVERSE of ¾ [perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE Rate of Changes (SLOPES)], which is -1⅓ [or -4⁄3]. After getting your slope, you can perform the action with your given ordered pair to find your y-intercept:

1 = -1⅓[6] + b

-8

9 = b

Now that you have your y-intercept, this is your new equation in Slope-Intercept Form:

y = -1⅓x + 9

We are not done just yet. The final step is to convert the Slope-Intercept Form of the line to Standard Form, and here is how it is done:

y = -1⅓x + 9

+1⅓x +1⅓x

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1⅓x + y = 9 → Final equation

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**On my channel, I have a video that pretty much explains how to something like this. It is the longest video on there. You should be capable of finding it in a jip!