Question

Which equation is the slope-intercept form of the line that passes through (6, –11) and is parallel to the graph of y = –2/3x + 12?

Answer 1

Equation of line in slope-intercept form is given as y = mx + c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope so slope of line is -2/3x.

Equation of line is y = -2/3x + c.

Substitute (6,-11) into the equation to find c.

-11 = -2/3(6) + c

c = -7

Hence, equation of line is y = -2/3x - 7.