Question

Find the slope intercept form of the equation that passes through the given point and is parallel to the given line (-3,2) and y=x-6

Answer 1

y = x + 5

Explanation:

The equation of any two parallel lines differ by a constant.

That is, the equation of the line parallel to the line y = ax + b is y = ax + c.

The equation of the line is given to be: y = x - 6.

Therefore, the equation of the parallel line would be:

y = x + b

Since, the point (-3, 2) passes through the point, we can substitute in the equation to determine the value of 'b'.

Hence, 2 = - 3 + b

So. b = 5.

Therefore, the equation of the line becomes:

y = x + 5