Question

2. Write the equation of the line that goes through the points (-1, 3) and (4, -7) in general form. Clearly show and explain each step @jazy ?

Answer 1

can you help me ?

Answer 2

\[m = \frac{ y2-y1 }{ x2-x1 }\]
\[y - y1 = m(x-x1)\]

Answer 3

1st find the slope and use point Slope form

Answer 4

i still dont understand

Answer 5

do you know the values for y in (-1, 3) and (4, -7)

Answer 6

3, -7?

Answer 7

Step 1) Find slope.

\[m = \frac{ y2 - y1 }{ x2 - x1 } = \frac{ -7 - 3 }{ 4 - (-1) } = \frac{ -10 }{ 5 } = -2\]

Step 2) Point-Slope form. Slope is 2 and you have a given point, lets use (-1, 3).

\[y - y1 = m(x - x1)\]\[y - 3 = -2(x + 1)\]Now you want it in slope-intercept form.

Distribute.\[y - 3 = -2x - 2\]Solve for y: Add 3 to both sides.\[y = -2x + 1\]

Answer 8

Standard form: Ax + By = C

Add 2x to both sides.

Standard form:

2x + y = 1

Answer 9

Not sure which you needed. (:

Answer 10

thx jazy you make everything easier to understand

Answer 11

Glad to help. (: