Question

Write in slope-intercept form an equation of the line that passes through the given points.

(6,8),(3,−9)

Answer 1

y = 17/3x - 26

Explanation:

Remember the slope formula:

`m = (y2-y1)/(x2-x1) \\`

`m = (-9-8)/(3-6)\\\\m = (-17)/(3)\\\\m = (17)/(3)`

Slope: 17 / 3

First part of equation: y = 17/3x + b

To find b, plug in the values from the points we know:

`-9 = (17)/(3) * 3 + b\\-9=17+b\\b+17=-9\\b=-26\\`

Therefore, the Y-intercept is -26

Combining all the parts, the answer is y = 17/3x - 26

Answer 2

`51.6 |54x81..65107 {36.01(21. \sqrt[365.]{gaa} }^(2) |`