Answers
#1 = y = 3x -5
#2 = y = -12x + 2
Step by step
For #1, I’m using the two points
(1, -2) and (3, 4) to find slope
y2 - y1 over x2 - x1
4- -2 over 3 -1
6 over 2 = 6/2 or slope (m) of 3
Now we find the equation
Using points (3, 4)
y - y1 = m (x - x1)
y -4 = 3(x - 3)
y -4 = 3x -9
Add 4 to each side to solve for y
y - 4 + 4 = 3x - 9 + 4
y = 3x -5
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For # 2 I’m using the two points
(1/8, 1/2) and (0, 2) to find slope (m)
y2 - y1 over x2 - x1
2 - 1/2 over 0 - 1/8
1 1/2 over -1/8
To simplify we divide 1 1/2 by -1/8
When we divide fractions we flip the divisor and multiply
3/2 * -8/1 = -12 slope (m)
Now we find the equation
Using points (0, 2)
y - y1 = m (x - x1)
y - 2 = -12(x - 0)
y -2 = -12x
Add 2 to both sides to solve for
y -2 +2 = -12x + 2
y = -12x + 2