Consider the point (8,2) and the Line L, given by the equation y=4x-6. what is the equation of the line in slope intercept form passing through point p and perpendicular to Line L

y = -x/4 + 4

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

y = 4x - 6

Comparing with the slope intercept form, slope = 4

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 line L passing through (8,2) is - 1/4

To determine the intercept, we would substitute m = - 1/4, x = 8 and y = 2 into y = mx + c. It becomes

2 = - 1/4 × 8 + c

2 = - 2 + c

c = 2 + 2 = 4

The equation becomes

y = -x/4 + 4

87%

step-by-step explanation:

apex answer

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have