How to solve slope intercept form for a line parallel to y=x+4 passing through (2,2)

The slope intercept form for a line parallel to y = x + 4 passing through (2,2) is y = x

Solution:

Given that line parallel to y = x + 4 passing through (2, 2)

To find: slope intercept form of line

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y intercept

Let us first find slope of line

On comparing the given equation y = x + 4 with slope intercept form, we get

m = 1

Thus slope of line is 1

We know that slopes of parallel lines are equal

So slope of line parallel to given line is also 1

Now we have to find the equation of line in slope intercept form with slope m = 1 and passing through (2, 2)

Substitute m = 1 and (x, y) = (2, 2) in slope intercept form

2 = 1(2) + c

c = 0

Thus the required equation is:

Substitute m = 1 and c = 0 in slope intercept form

y = 1x + 0

y = x

Thus the required equation of line is found

i believe

step-by-step explanation:

from my conclusion c

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft