Question

What is the equation of the graphed linear model?

y =
x +
Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable M. The vertical axis is labeled Variable N. Points are plotted at (zero, one hundred), (five, one hundred ten), (ten, eighty), (fifteen, fifty), (twenty, seventy), (twenty, one hundred), (twenty-five, sixty), (thirty, twenty), (thirty, seventy-five), (thirty-five, sixty-five), (forty, forty), (forty-five, ten). A line is drawn through (twenty, seventy) and (twenty-five, sixty).

Answer 1

If a line is drawn through (twenty, seventy) and (twenty-five, sixty), then you can use the points in getting the equation.

Slope is = (60-70)/(25-20) = -2

Using the two-point slope form, y – y1 = m(x – x1)

y – 70 = -2(x – 20)

y – 70 = -2x + 40

y = -2x + 110