Question

Determine the equation of the line passing through the points (−1,1) and (1,7).

Answer 1

Answer:

$3x - y = -4$

Step-by-step explanation:

To make things easier, let's first find the equation in slope-intercept form ($y = mx + b$  where m is the slope and b is the y-intercept.

1. Find the slope:

$\frac{7 - 1}{1 - (-1)} = \frac{6}{2} = 3$

2. Find the y-intercept by plugging in (-1,1) into the equation $y = 3x + b$

$1 = 3(-1) + b$

so $b$ = 4

3. Therefore the equation of the line in slope-intercept form is $y = 3x + 4$

4. To convert slope-intercept form into standard form, let's move the 3x over to the other side and divide by -1 to get rid of the negative.

Our result is $3x - y = -4$.

Hope this helps :)