A line is represented by y=-2x+4. What would be the slope intercept form of a perpendicular line that goes through (8,-3)?

Step-by-step explanation:

Perpendicular Lines

Two lines of slopes m1 and m2 are perpendicular if their slopes meet the condition:

The slope-intercept form of a line with slope m and y-intercept of b is:

The point-slope form of a line with slope m that passes through the point (h,k) is:

We are given the line

From which we can know the value of the slope is m1=-2

The slope of the required line m2 can be calculated from [1]

Now we know the slope and the point (8,-3) through which our line goes, thus:

To find the slope-intercept form, operate:

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.