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

1⅓x + y = 9

Step-by-step explanation:

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

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

1⅓x + y = 9 → Final equation

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step-by-step explanation: 4 cause 2+2=4