Slope intercept form for a line containing 4,2 that is parallel to the line y-2 = 3(x+7)

y-2 = 3(x+7) put it in y=mx+b form (slope intercept)

y-2 = 3(x+7) distribute 3

y-2 = 3x+21  add 2 to both sides

+2         +2

y = 3x + 23

so now the slope of that is 3 so the new equation has a slope of 3 because parallel slopes are equal.  

my new line has a slope of 3 and point (4,2)

so we use point slope formula y-y1 = m(x-x1)

y-2 =3(x-4) put it in y=mx+b form (slope intercept)

y-2 = 3(x-4) distribute 3

y-2 = 3x -12  add 2 to both sides

+2         +2

y = 3x + 10 which is you line slope intercept with parallel slope and contains (4,2)  

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

multiple all that

step-by-step explanation:

27×17