Write an equation of the line passing through each of the following pairs of points. (5, 7), (−8, −4)

y = x +

Step-by-step explanation:

First, find the slope of the line passing through the points

Then find the y-intercept of the line

Then construct the formula

1. find the slope

remember the formula

is used to find the slope

now plug in the given points

(5, 7)

(-8, -4)

simplify and solve

=

=

2. find the y-intercept

remember the base formula for a line

y= mx + b

where m is the slope and b is the y-intercept

we know the slope, so now plug in one of the given coordinates for a point on the line and slove to find the y-intercept

y = mx + b

y = x + b

use the first set of given coordinates for a point on this line: (5, 7)

7 =  * 5 + b

solve by inverse operations and simplifying

7 = + b

= b

3. construct the formula

now we know the slope and the y-intercept, all we have to do now is substitute it into the base formula for a line:

y = mx + b

where m is the slope and B is the y-intercept

we found that

m =

and

b =

so that means the equation is

y = * x +

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step-by-step explanation: