Question

What is an equation of the line that passes through the points (2, -7) and (8, -4)?

Answer 1

Answer:

The answer is

$y = \frac{1}{2} x - 8$

Step-by-step explanation:

To find the equation of the line that passes through two points , first find the slope and then use the formula

y - y1 = m(x - x1)

where m is the slope

(x1 , y1) are any of the points

To find the slope of the line using two points we use the formula

$m = \frac{y2 - y1}{x2 - x1}$

Slope of the line using points

(2, -7) and (8, -4) is

$\frac{ - 4 + 7}{8 - 2} = \frac{3}{6} = \frac{1}{2}$

Now the equation of the line using point (2 , - 7) and slope 1/2 is

$y + 7 = \frac{1}{2} (x - 2)$

$y + 7 = \frac{1}{2} x - 1$

$y = \frac{1}{2} x - 1 - 7$

We have the final answer as

$y = \frac{1}{2} x - 8$

Hope this helps you