Answer:
Slope intercept formula: y = 2x -6
Point Slope formula y = 2x-6
Explanation:
1) Find the slope
2) Choose a point and plug it into the equation y = mx+b
3) Solve for b
4) Plug-in new slope (m) and new y-intercept (b) into equation y = mx+b
Solving:
4 = x1
2 = y1
7 = x2
8 = y2
to find slope with slope formula:
m = y2-y1/x2-x1 = 8-2/7-4 = 6/3 = 2
now plug in,
y = 2x+b
to find b, take any one of the pair
(i will choose (4,2) )
2 = 2(4) + b
now solve for b,
2 = 8+b
b = -6
Slope intercept formula: y = 2x -6
for point slope: y-y1 = m(x-x1)
as we know our slope is 2 and points are (0,-6) where 0 is x1 and -6 is y1
now we plug in,
y-(-6) = 2(x-0)
y+6 = 2x
Point Slope formula y = 2x-6
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