Question

Write the equation of the line that passes through (2, 4) and (1, –3) in slope-intercept form.

A.) y = 7x – 10

B.) y = 7x + 10

C.) y = 7x + 18

D.) y = 7x – 18

Answer 1

First find the slope using \[m = \frac{y_1 - y_2}{x_1 - x_2}\]

Answer 2

okay thanks

Answer 3

You know what to do from here?

Answer 4

after i find the slope, no

Answer 5

AAlright. After you get the slope, tell me what you get and I'll show you the next step.

Answer 6

7

Answer 7

Slope is right...

Answer 8

y - y1 = m(x - x1)
y - 4 = 7(x - 2)
y - 4 = 7x - 14
add four to both sides
y = 7x - 18

Answer 9

So close!
\[y = 7x - 10\]

Answer 10

oh, i should have subtracted the 4.

Answer 11

No. You're actually adding the 4.
y - 4 = 7x - 14
y - 4 + 4 = 7x - 14 + 4
y = 7x + 4 - 14
y = 7x - 10

Answer 12

Since 14 is negative, when you subtract, you go farther negative which is -18. When you add, you cancel some of the negative and it becomes -10.

Answer 13

ok! i understand now.

Answer 14

thank you :D

Answer 15

np :)