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 passes through points plotted at left parenthesis 1 comma 4 right parenthesis and left parenthesis 2 comma 8 right parenthesis. Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.

(1 point)

Answer 1

[AI-generated answer — Bot]

To find the equation y = mx, we need to find the slope, m, of the line that passes through the origin and the point (1,4).

The slope, m, of a line passing through two points (x1,y1) and (x2,y2) is given by:

m = (y2-y1)/(x2-x1)

Plugging in the values from the given points, we get:

m = (8-4)/(2-1)

m = 4

So the equation of the line y = mx through the origin with a slope of 4 is:

y = 4x