Question

Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.
The slope of the line is .

When the point (7, –4) is used, the point-slope form of the line is .

The slope-intercept form of the line is .

Answer 1

Answer:

The slope of the line is -7/8

When the point (7, –4) is used, the point-slope form of the line is

y+4=(-7/8)(x-7)

The slope-intercept form of the line is y=(-7/8)x+(17/8)

Step-by-step explanation:

Answer 2

Answer:

the slope, m=2. Point Slope is 3-(-14)=m(-1-7). Slope intercept is -14=m7

Step-by-step explanation:

point slope formula

$y - y _ {2}= m(x - x_{2})$

plug in numbers

$3 - ( - 14) = m( - 1 - 7)$

use PEMDAS and simplify

$17 = m( - 8)$

isolate variables

$17 \div - 8 = m$

solve for m, and get the slope

$- 2 = m$

so slope is -2

Slope Intercept formula

$y = mx + b$

we dont know the y intercept so you could solve for that