Answer:
the equation for the line that passes through (1,2) and (3,10) is
![y = 4x - 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oogx1g7j2nzdtwfvol7bpuvvftdpno329z.png)
Explaination:
1) Apply the slope formula: y^2 - y^1 divided by x^2 - x^1.
2) y^2 is 10
y^1 is 2
x^2 is 3
x^1 is 1
3) 10 - 2 = 8
3 - 1 = 2
8/2 = 4
Slope: 4
Equation: y = 4x + b
4) Replace y with either y^2 or y^1, and replace x with either x^2 or x^1.
5) 10 = 4(3) + b
6) 10 = 12 + b
7) subtract 12 from both sides.
-2 = b
y-intercept: -2
equation: y= 4x - 2