What is the equation of a line in slope-intercept form with slope 2 and a y-intercept of 4?

What is the equation of a line in slope-intercept form with slope 2 and a y-intercept of 4?

• A. y = 2x - 4
• B. y = x + 4
• C. y = 2x + 4
• D. y = -2x + 4

Answer: (C)

The equation of a line in slope-intercept form is represented as \( y = mx + b \), where \( m \) stands for the slope and \( b \) represents the y-intercept. In this scenario, the slope is given as 2, and the y-intercept is given as 4. To write the equation using the provided slope and y-intercept, we substitute these values into the formula. The slope \( m \) is 2, so we replace \( m \) with 2, and since the y-intercept \( b \) is 4, we replace \( b \) with 4. This gives us the equation: \[ y = 2x + 4 \] This represents a line that rises 2 units for every 1 unit it moves to the right, and it crosses the y-axis at 4. Therefore, the equation accurately reflects the given slope and y-intercept, confirming that the correct choice is the one represented as \( y = 2x + 4 \).

The equation of a line in slope-intercept form is represented as ( y = mx + b ), where ( m ) stands for the slope and ( b ) represents the y-intercept. In this scenario, the slope is given as 2, and the y-intercept is given as 4.

To write the equation using the provided slope and y-intercept, we substitute these values into the formula. The slope ( m ) is 2, so we replace ( m ) with 2, and since the y-intercept ( b ) is 4, we replace ( b ) with 4. This gives us the equation:

[

y = 2x + 4

]

This represents a line that rises 2 units for every 1 unit it moves to the right, and it crosses the y-axis at 4. Therefore, the equation accurately reflects the given slope and y-intercept, confirming that the correct choice is the one represented as ( y = 2x + 4 ).