Solve and show work find the equation of the line that passes through the points (-1,-5) and (-7,-6) in slope intercept form

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: , where m is the slope and b is the y-intercept.

To find the slope, you must use the following equation:


In this equation, this would be equivalent to: which, when simplified, is . 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  for the m term.

leads to  which leads to . You have now solved for the y-intercept and aare ready to form your final equation.

The final equation is: