Jacob is using coordinate system to design a rhombus-shaped building. Side LaTeX: \frac{ }{AB}A B passes through point (6, 6) and is perpendicular to the graph of LaTeX: y=\frac{3}{4}x-11y = 3 4 x − 11. Side LaTeX: \frac{ }{CD}C D is parallel to side LaTeX: \frac{ }{AB} and passes through point (−6, 10). What is the equation in slope-intercept form of the line that includes side LaTeX: \frac{ }{CD}

Step-by-step explanation:

Given

perpendicular to

CD parallel to AB

CD passes through (-6,10)

Required

Determine the slope-intercept form of line CD

First, we need to determine the slope of AB

For

Slope,

Represent slope of AB with m2

Since both are perpendicular:

To determine the equation of CD, we need to determine its slope:

Since CD is parallel to AB, then

The slope intercept form of CD is as follows;

Where:

Open Bracket

Add 10 to both sides