Question

Use the image to answer the question.

An illustration shows a coordinate plane with 4 quadrants. The x-axis ranges from negative 9 to 9 in one unit increments, and the y-axis ranges from negative 11 to 11 in one unit increments. A line is graphed on the plane. An upward slanting line line passes through points plotted at left parenthesis 3 comma 3 right parenthesis and left parenthesis 8 comma 8 right parenthesis.

Use the graph to derive the equation y=mx
for a line through the origin. Simplify the numerical coefficient, if needed.

(1 point)

y=3/3x


y=3x


y=8x


y=x

Answer 1

Points (3,3) and (8,8) give slope m = (8−3)/(8−3) = 5/5 = 1, so the line through the origin is y = 1x, i.e. y = x.