Q:

Which is an equation of the line that passes through (-1,-5) and (-3,-7)

Accepted Solution

A:
Slope intercept formula is: y = mx + b m is the slope b is the y-intercept Let's find m, the slope: The formula for slope when using two points on a line is: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] In this case... [tex]y_{2} =-7\\y_{1} =-5\\x_{2} =-3\\x_{1} =-1[/tex] ^^^Plug these numbers into the formula for slope... [tex]\frac{-7-(-5)}{-3-(-1)}[/tex] [tex]\frac{-2}{-2}[/tex]1 ^^^This is your slopeSo far this is our equation:y = 1x + b OR y = x + bNow let's find b, the y-intercept:To do that you must plug in the point the line goes through in the x and y of the equation. For this question I have chosen to plug in the point (-1, -5) -5 = -1 + b -5 + 1 = -1 + 1 + b -4 = 0 + b-4 = bYour equation is: y = x - 4 Hope this helped! ~Just a girl in love with Shawn Mendes