Question

Writing equation of the line that passes through the given points (2, 3); (0,-1)
I really need help

Answer 1

Step-by-step explanation:

Find the slope.

$m = \frac{ - 1 - 3}{0 - 2} = \frac{ \: \: \: 4 \: }{ - 2 \: } = - 2$

Point-slope form.

$y - y1 = m(x - x1)$

Using the given and gathered information.

$y - 3 = - 2(x - 2)$

^Point-slope form^

If you want y-intercept form:

$y = mx + b$

Since we previously found the Slope, we now need to find the y-intercept.

$y = mx + b \\ 3 = - 2(2) - b \\ 3 = - 4 - b \\ + 4 = + 4 \: \: \: \: \: \: \: \: \: \: \\ 7 = b$

Using the information given and gathered.....

$y = - 2x + 7$

^y-intercept form^