Question

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)

Answer 1

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