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

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

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