To find the equation y=mx for a line through the origin, we need to determine the slope (m) of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
Using the points (3, 3) and (8, 8) from the graph, we have:
m = (8 - 3) / (8 - 3) = 1
So the equation y=mx for the line passing through the origin is y=x, where m=1.
Therefore, the answer is:
y=x.
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)
Responses
y=3/3x
y equals Start Fraction 3 over 3 End Fraction x
y=x
y equals x
y=3x
y equals 3 x
y=8x
y equals 8 x
1 answer
1 answer