Give the slope-intercept form of the equation of the line that is perpendicular to
–7x – 8y = 12 and contains P(–3, 1).

y = 8x/7 + 31/7

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

–7x – 8y = 12

Rearranging t to take the slope intercept form, it becomes

8y = - 7x - 12

y = - 7x/8 - 12/8

Comparing with the slope intercept form, slope = - 7/8

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains P(–3, 1) is 8/7

To determine the intercept, we would substitute m = 8/7, x = - 3 and y = 1 into y = mx + c. It becomes

1 = 8/7 × - 3 + c

1 = - 24/7 + c

c = 1 + 24/7

c = 31/7

The equation becomes

y = 8x/7 + 31/7

darn right!

step-by-step explanation:

steve kerr's sons name is let that skin in.

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation: