If a line contains the point (0, 1) and has a slope of 2, then which of the following points also lies on the line? (1,3) (3,1) (2,2) (2,3)

(1,3)

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis, or when x is equal to 0).

We're given that this line contains the point (0,1). This tells us that the y-intercept (b) of the line is 1.  We're also given that this line has a slope (m) of 2. Plug these values into :

Now, plug in all of the possible points to see which are solutions.

1) (1,3)

Because the left side of the equation is equal to the right, (1,3) also lies on this line.

2) (3,1)

Because the left side is not equal to the right, (3,1) does not lie on the line.

3) (2,2)

Because the left side is not equal to the right, (2,2) does not lie on the line.

4) (2,3)

Because the left side is not equal to the right, (2,3) does not lie on the line.

I hope this helps!

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

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