Question

The slopes of parallel lines are ____________. The slope of a line is 6, and a point on that line is (-4,5). Write the equation in point-slope form for the given information.

Answer 1

Step 1

Given; The slopes of parallel lines are ____________. The slope of a line is 6, and a point on that line is (-4,5). Write the equation in point-slope form for the given information.

Step 2

The slope of parallel lines are equal. The point-slope formula is;

`\begin{gathered} (y-y_1)=m(x-x_1) \\ y_1=5,x_1=-4,\text{ m=6} \end{gathered}`

Thus the equation will be;

`(y-5)=6(x-(-4))`

Answer;

`\begin{gathered} 1)\text{ }The\text{ slope of parallel lines are equal} \\ 2)\text{ The equation of the line in point-slope form is;} \\ y-5=6(x-(-4)) \end{gathered}`