Question

The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in slope-intercept form that contains point (4, 5)

Answer 1

Answer:

$\[y=-2x+13\]$

Step-by-step explanation:

Equation of the line CD is given as $\[y=-2x-2\]$

Slope of the line CD = -2

Slope of the line parallel to CD = -2

Equation of the line parallel to CD is given by $\[y=mx+c\]$

$\[y=-2x+c\]$

But this line passes through (4,5)

Substituting the values in the equation:

$\[5=-2*(4)+c\]$

=> $\[c=5+8=13\]$

So the overall equation of the parallel line is given by $\[y=-2x+13\]$