The y-intercept is 4, which means the line crosses the y-axis at the point ( ,4). Plot this point. The slope of the line is positive, so it goes up from left to right. Start at the y-intercept. Move up 2, and then move right 1. You are now at the point (1,6). Plot this point. Draw a line to connect the two points.
Graph:
Practice makes perfect
Equations written in slope-intercept form follow a specific format.
y= mx+ b
In this form, m represents the slope of the line and b represents the y-intercept. Let's identify the slope m and y-intercept b in the given equation.
y= 2x+ 4
The y-intercept is 4, so the graph crosses the y-axis at the point (0, 4). Let's mark this point on a coordinate plane!
The slope of the line is 2. Since the slope is positive, it goes up from left to right. A slope of 2 means that for every 1 unit we move in the positive horizontal direction, we move 2 units in the positive vertical direction.
m= 2/1 ⇔ Rise/Run=2/1
We will use the slope to find another point on the line. When we move 2 units up and 1 unit right, we will obtain the second point (1,6).
Finally, we can connect the two points to obtain the line.
Therefore, we drew the graph of the given equation and we can fill in the blanks in the exercise.
The y-intercept is 4, which means the line crosses the y-axis at the point ( ,4). Plot this point. The slope of the line is positive, so it goes up from left to right. Start at the y-intercept. Move up 2, and then move right 1. You are now at the point (1,6). Plot this point. Draw a line to connect the two points.
