Write the equation of the line in slope intercept form that passes through the point (3,2) and the the intersection of lines: 2x-3y=24 and 2x+y=8

ANSWER



EXPLANATION

We want to write the equation in slope-intercept form for the line that passes through the point (3,2) and the intersection of the lines:





We subtract equation (1) from equation (2) to get,







Put y=-4 into equation (2) to get the value of x.









Therefore the line passes through (3,2) and

(6,-4).

The slope of this line is



The slope intercept form is given by the formula,



where m=-2 is the slope.

We substitute the slope to get,



We substitute the point (3,2) to find the value of c.







Hence the equation in slope-intercept form is