The equation for the line through the origin can be derived by finding the slope of the line. The slope is determined using the equation Δy/Δx, where Δy is the change in y-values and Δx is the change in x-values between two points on the line.
From the graph, it can be observed that for every unit increase in x, there is an equal unit increase in y. This means that the slope is 1.
Using the slope-intercept form y = mx, where m is the slope, the equation for the line through the origin is:
y = 1x
or
y = x
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=8x
y equals 8 x
y=3x
y equals 3 x
y=33x
y equals Start Fraction 3 over 3 End Fraction x
y=x
1 answer
1 answer