Question

This is my last question before i finish my semester. Please help!

Part 1: Using complete sentences, explain how to find the equation of the line, in standard form and slope–intercept form, passing through (–1, 5) and (1, 9).

Part 2: Compare the benefits of writing an equation in standard form to the benefits of writing an equation in slope–intercept form.

Answer 1

first you need the slope of the line through (–1, 5) and (1, 9)

Answer 2

use the formula

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

Answer 3

2

Answer 4

good

Answer 5

now use y = mx+b

Answer 6

y = mx+b

y = 2x + b ... plug in the slope

5 = 2(-1) + b ... plug in the given point (-1, 5)

5 = -2 + b

...
...
...

b = ??

Answer 7

7 ?

Answer 8

good

Answer 9

so the equation in slope intercept form is

y = 2x + 7

Answer 10

to convert to standard form, we just get it into Ax+By = C form

Answer 11

some books/teachers require A to be positive, so it's best to make A positive

Answer 12

y = 2x + 7

y - 2x = 2x + 7 - 2x

-2x + y = 7

2x - y = -7

The equation is now in standard form Ax+By = C where A > 0

Answer 13

I'll leave part 2 to you

Answer 14

leave what to me?

Answer 15

oh okay i read it wrong

Answer 16

that's ok