Identify an equation in point slope form for the line perpendicular to y =-2x + 8 that passes through (-3, 9)

Point-slope form of the required line is .

Step-by-step explanation:

We have the equation of the line as 'y=-2x+8'.

On comparing with the general form of the line given by 'y=mx+b', where m is the slope, gives that the slope of this equation is -2.

As we know, 'If two lines are perpendicular, then the product of their slopes is -1'.

Thus, we have, , where m is the slope of the required line.

Then, i.e. -2m = -1 i.e. .

We know, the point-slope form is given by,

Since, the lines passes through (-3,9).

We have, the point-slope form of the required line is .

step-by-step explanation:

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