Question

Write the equation of the​ line, with the given​ properties, in​ slope-intercept form.

Through (-7,-5) and (-5,7)
The equation of the line is y= enter your response here.

Answer 1

y = 6x + 37

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate the slope m, using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (₁, y₁ ) = (- 7, - 5 ) and (x₂, y₂ ) = (- 5, 7 )

substitute these values into the formula for m

m =
`(7-(-5))/(-5-(-7))` =
`(7+5)/(-5+7)` =
`(12)/(2)` = 6 , then

y = 6x + c ← is the partial equation

to find c, substitute either of the 2 points into the partial equation

using (- 5, 7 ) for x and y in the partial equation

7 = 6(- 5) + c = - 30 + c ( add 30 to both sides )

37 = c

y = 6x + 37 ← equation of line