Question

PLEASE SOLVE AND SHOW WORK Find the equation of the line that passes through the points (-1,-5) and (-7,-6) in slope intercept form

Answer 1

The way that you find this problem is to first find the slope, and then input one of your points into your equation to find b.
The slope-intercept form of a line is: $y=mx+b$, where m is the slope and b is the y-intercept.

To find the slope, you must use the following equation:
$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this equation, this would be equivalent to:$\frac{-6-(-5)}{-7-(-1)}$ which, when simplified, is $\frac{1}{6}$. This is your slope.

To find the Y-intercept, you just plug all variables that you currently have solved for into the equation. You may use either point for the x and y variables, but you must use $\frac{1}{6}$ for the m term.

$-6 = (\frac{1}{6})(-7) + b$ leads to $-6 = \frac{-7}{6} +b$ which leads to $\frac{-29}{6} = b$. You have now solved for the y-intercept and aare ready to form your final equation.

The final equation is:$y=\frac{1}{6}x -\frac{29}{6}$