Question

explain how a chart with these points has a proportional relationship with y = -2x
0,0 1,-2 2,-4

Answer 1

A proportional relationship means that as one variable (x) increases or decreases, the other variable (y) changes by a constant factor. In the equation y = -2x, the constant factor is -2, meaning that y is always 2 times the value of x but with an opposite sign (negative).

If we plot the points given: (0,0), (1,-2), and (2, -4), we can see that they form a straight line that passes through the origin (0,0). This is because the y-intercept is 0 (when x = 0, y = 0), and for every increase in x by 1, y decreases by 2, as indicated by the equation y = -2x.

Thus, the chart with the given points has a proportional relationship with y = -2x because the values of y are always 2 times the value of x but with an opposite sign (negative), following the equation y = -2x.