Write an equation in point-slope form of the line that passes through the given points. Then write the equation in slope-intercept form.
(2,4), (-3,-6)
First we need to find the slope y2-y1/x2-x1 -6-4/-3-2 -10/-5 <---this can be simplified Slope=2 Point slope: y-y1=m(x-x1) Now take the first pair of coordinates and plug them in their proper spots it helps to label them then plug in y1=4 x1=2 m=slope=2 Now plug them in our final answer would be : y-4=2(x-2) Slope intercept: y = mx + b where: m is the slope of the line b is the y-intercept of the line Slope is known y=2x+b To find the b you pick one of the given coordinates let's do (2,4) Plug them into what we have y=2x+b 4=2(2)+b solve for b 4=4+b subtract 4 from both sides b=0 therefore the equation would simply be y=2x
