Sophie H.

asked • 09/28/17

Algebra 2 question

. Write the equation of a line perpendicular to the line 3x +7y =21 with a y-intercept of (0, 2). Write your answer in standard form.
Follow the steps below.

Step 1. Write the equation of the given line in slope-intercept form and determine its slope.
equation:
slope:

Step 2. Use the slope of the given line to determine the slope needed to write the equation of a perpendicular line and write a short paragraph explaining how you determined the slope of the perpendicular line.
slope needed for perpendicular line:
Reason:

Step 3. Write the equation of the perpendicular line on slope-intercept form and then write the equation in standard form.
slope-intercept form:
standard form:

David W.

tutor
This is not the specified procedure; it is a way to check your answer (or get the answer much quicker [on a test]):
The slope of Ax+By=C is (-A/B).  The perpendicular line has slope of (B/A) and equation of Bx-Ay=D, or 7x-3y=D; we need a point, like (0,2), to find D.
7(0)-3(2)=D
D=-6
The parallel line, in Standard Form, is:    7x-3y=-6

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