Final answer:
To find the equation of a linear relationship in slope-intercept form, we must know the slope and y-intercept. The provided options assume a y-intercept of 0. Further information is needed to accurately choose the equation with the correct slope.
The correct answer is none of all.
Step-by-step explanation:
The question asks us to write the equation of a linear relationship in slope-intercept form, which is given by the equation y = mx + b, where m is the slope and b is the y-intercept. The slope is the rise over the run and the y-intercept is the point where the line crosses the y-axis.
Since the options provided, a) y = 2x, b) y = 3x, c) y = 4x, and d) y = 5x, do not include a b value (y-intercept), it's assumed that the y-intercept is 0. Therefore, the equations represent lines that pass through the origin with their respective slopes being the coefficients of x. To choose the correct equation, you would need further information about the line's slope or a point on the line other than the origin.