Question

Write the slope-intercept form of the equation of the line through the given points.

7
Through (3, 5) and (5, 11)
8.
Through (4, 7) and (7, -8)
9.
Through (-2,3) and (0,5)
10.
Through (1,7) and (3, -3)

Answer 1

7. y = 3x − 4

8. y = -5x + 27

9. y = x + 5

10. y = -5x + 12

Explanation:

if you're given two points, find the slope first. To find slope the formula is...

(y₂ - y₁)/(x₂ - x₁).

For example, if you look at 7, you find the slope by subtracting one y value with the other, which would be 11 - 5.

Then, divide this by the second x value with the other, which would be 5 - 3. you get the slope, which is 3.

Then, plug in one of the points into the equation you have now, which is y = 3x + b (since you don't know b).

So you would get 5 = 3(3) + b, subtract, and you can find b, and make an equation.