Question

Write down the equations for the lines whose graphs are depicted below:

a. y = 2x + 1
b. y = -2x + 1
c. y = x + 2
d. y = -x + 2

Answer 1

a. y = 2x + 1 b. y = -2x + 1 c. y = x + 2 d. y = -x + 2

Step-by-step explanation:

a. The equation for the line depicted in the graph is y = 2x + 1. The slope of this line is 2, which means for every 1 unit increase in x, y increases by 2 units. The y-intercept is 1, which is the point where the line crosses the y-axis.

b. The equation for the line depicted in the graph is y = -2x + 1. The slope of this line is -2, which means for every 1 unit increase in x, y decreases by 2 units. The y-intercept is 1, which is the point where the line crosses the y-axis.

c. The equation for the line depicted in the graph is y = x + 2. The slope of this line is 1, which means for every 1 unit increase in x, y increases by 1 unit. The y-intercept is 2, which is the point where the line crosses the y-axis.

d. The equation for the line depicted in the graph is y = -x + 2. The slope of this line is -1, which means for every 1 unit increase in x, y decreases by 1 unit. The y-intercept is 2, which is the point where the line crosses the y-axis.