Determine the equation of the line that is parallel to y=5x+4 and that passes through (8,-2)

The equation of the line in slope intercept form is; y = 5x-42

Step-by-step explanation:

Parallel lines have identical or equal slopes. This implies that the form of the equation of the line will be;

y=5x+c

Since this line passes through (8,-2), we determine the value c by substituting x with 8 and y with -2. We solve the equation;

-2 =5(8)+c to obtain c = -42

The equation of the line in slope-intercept form is thus y = 5x-42

The equation of line parallel to y = 5x + 4 is

y = 5x - 42

Step-by-step explanation:

The two parallel lines have equal slope.

The given equation of a line  is y = 5x + 4

Here slope m = 5

The line parallel to this line have same slope.

The equation of new line is, y = 5x + c

Where c is a constant

To find the equation of line

y = 5x + c    (1)

This line passes through (8,-2)

Substitute value of x and y in equation (1) we get

-2 = (5*8) + c

-2 = 40 + c

c = -42

Therefore the equation of line parallel to y = 5x + 4 is

y = 5x - 42

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: