Y= 2x + 2 , the y intercept is 2, the graph was provide this point for u already . E Then , I just found the slope by using the formula that I had learned from textbook , which is M= y2 - Y1 divided by X2-X1 .
the point slope formula is y-y1=m(x-x1) that is the equation of a line that passes throut the point (x1,y1) and has a slope of m
the slope of the line passing through the points (x1,y1) and (x2,y2) is (y1-y2)/(x1-x2) given the points (-4,-6) and (2,6) slope=(-6-6)/(-4-2)=-12/-6=12/6=2/1=2 slope is 2 a point is (2,6) y-6=2(x-2) solve for y to get slope intercept y-6=2x-4 add 6 y=2x+2
another way would be this y=mx+b b=yinercept we see that it crosses at y=2 y=mx+2 subsitute (2,6) sub 2 for x and 6 for y and find m 6=2m+2 minus 2 4=2m divide 2 2=m y=2x+2