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 passes through points plotted at left parenthesis 1 comma 5 right parenthesis and left parenthesis 2 comma 10 right parenthesis.
The graph shows the proportional relationship. Derive the equation of the line y=mx through the origin.
(1 point)
To derive the equation of the line through the origin, we need to find the slope (m) of the line first.
The slope formula is:
m = (y2 - y1) / (x2 - x1)
Given the two points (1, 5) and (2, 10), we have:
m = (10 - 5) / (2 - 1)
m = 5 / 1
m = 5
Now that we have the slope, we can write the equation of the line y = mx as:
y = 5x
So, the equation of the line passing through the points (1, 5) and (2, 10) and through the origin is y = 5x.