Question

Write the standard form of the equation of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. (5, 3) and (8, -2)

Answer 1

Let's find slope using


`y_(2) - y_(1) / x_(2) - x_(1)`

-2 - 3 / 8 - 5 = -5/3

So m, or slope, equals 5.

Now, let's solve for b.

-2 = -5/3(8) + b
-2 = -40/3 + b
Add 40/3 to both sides.
11 1/3, or 34/3 = b

So your equation would look like

y = -5/3x + 34/3

Answer 2

(5,3)(8,-2)
slope = (-2 - 3) / (8 - 5) = -5/3

y = mx + b
slope(m) = -5/3
use either of ur points...(5,3)...x = 5 and y = 3
now we sub and find b, the y int
3 = -5/3(5) + b
3 = -25/3 + b
3 + 25/3 = b
9/3 + 25/3 = b
34/3 = b

so ur equation is : y = -5/3x + 34/3....but we need it in standard form

y = -5/3x + 34/3
5/3x + y = 34/3....multiply both sides by 3
5x + 3y = 34 <==