A line has a slope of −2 and travels through the point (−13, 21). Which equation and graph represent the solution set to this linear equation? Responses

Answer 1

line with slope -2 through the point (-13, 21)

is

y = -2x + b where b= y intercept, found by pluggin in the values x=-13 and y=21

21 =-2(-13) + b

b = 21 -26 = -5

y =-2x -5 is the equation in slope intercept form

or

2x +y =-5 in standard form

the graph is a downward sloping straight line

y intercept is (0,-5), x intercept is (-5/2, 0) = (-2 1/2, 0)

plot those two points, connect them with a straight line

add arrows on both ends of the line to indicate the line goes forever in both directions