The equation of line qr is y=-1/2x+1 . write an equation of a line perpendicular to line we in slope intercept form that contains point 5,6

Step-by-step explanation:

we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

Step 1

Find the slope of the line perpendicular to the line QR

The equation of the line QR is equal to

The slope m1 of the line QR is equal to

The slope of the line perpendicular to the line QR is equal to

substitute the value of m1

Step 2

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

In this part we have

substitute the values and solve for b

The equation of the line will be

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