To find the equation of the line passing through the points (1, 5) and (2, 10), we need to first find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Substitute the given points into the formula:
m = (10 - 5) / (2 - 1)
m = 5 / 1
m = 5
Now that we have the slope (m = 5) and the line passes through the origin (0, 0), we can write the equation of the line in the form y = mx:
y = 5x
Therefore, the equation of the line that represents the proportional relationship in the graph is y = 5x.
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 answer
1 answer