(-2,1) & (1,-1) the equation of the line is

y = (-2/3)x - 1/3

Step-by-step explanation:

Find the equation of the line through the two points (-2, 1) and (1, -1).

As we increase x from -2 to 1 (an increase of 3), y decreases from 1 to -1 (a decrease of 2).

Thus, the slope of this line is m = rise / run = -2/3.

Using the slope-intercept formula y = mx + b, and substituting the givens m = -2/3, x = -2 and y = 1, we get:

1 = (-2/3)(-2) + b, or

1 = 4/3 + b, or 3/3 = 4/3 + b.

Then b must be 3/3 - 4/3, or -1/3, and the equation of the line is then

y = (-2/3)x - 1/3

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x