Question

question 9 of 10
which of the following is the equation of a line in slope-intercept form for a line with slope = 2 and y-intercept at (0, 3)?
a. $y = 2x - 3$
b. $x = 2y + 3$
c. $y = 2x + 3$
d. $y = 2x$

Explanation:

Step 1: Recall the slope - intercept form

The slope - intercept form of a linear equation is given by the formula \( y=mx + b \), where \( m \) is the slope of the line and \( b \) is the y - intercept (the y - coordinate of the point where the line crosses the y - axis).

Step 2: Identify the values of \( m \) and \( b \)

We are given that the slope \( m = 2 \) and the y - intercept is at the point \( (0,3) \). For the y - intercept \( (0,b) \), when \( x = 0 \), \( y=b \). So here, \( b = 3 \).

Step 3: Substitute \( m \) and \( b \) into the slope - intercept form

Substitute \( m = 2 \) and \( b = 3 \) into the equation \( y=mx + b \). We get \( y=(2)x+3 \), which simplifies to \( y = 2x+3 \).

Answer:

C. \( y = 2x + 3 \)