Question

Which graph best represents a line that passes

through the values in the table below?
X. Y
0. 1
1. -2
2. - 5

Answer 1

y = -3x + 1

Explanation:

We are given a couple ordered pairs from this table. Lets use the slope formula so we can find the slope of this line:

`(y_2-y_1)/(x_2-x_1)`

Y2, y1, x2, and x1 are constants (points on the line). To make it easy, lets take the coordinates (0,1) and (1,-2). Then we just plug these points in and evaluate.

`(-2-1)/(1-0)`

Evaluate both sides of the fraction.

`(-3)/(1) =-3`

Now that we have the slope, we are given the y intercept coordinate, (0,1) which means the y-intercept is 1. To write it in y = mx + b form, we just plug in our numbers and were good to go.

`y=-3x+1`