Question

Which of the following equations represents the line with a slope of 2 and a y-intercept of 4?

y = 2x + 4


y = 1/2x - 4


y = 2x - 4


y = 1/2x + 4

Answer 1

The equation that represents the line with a slope of 2 and a y-intercept of 4 is y = 2x + 4.

Step-by-step explanation:

The equation that represents the line with a slope of 2 and a y-intercept of 4 is y = 2x + 4.

In general, the equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2 and the y-intercept is 4, so the equation is y = 2x + 4.

Answer 2

The equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:

• y = 2x + 4

Hence, option 'A' is correct.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

• m is the slope

• b is the y-intercept

In our case, we are given

• Slope m = 2

• y-intercept b = 4

substituting m = 2 and b = 4 in the slope-intercept form of the line equation

y = mx+b

y = 2x + 4

Therefore, the equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:

• y = 2x + 4

Hence, option 'A' is correct.