Lines written in slope-intercept form follow a certain format.
y= mx+ b
In this form, the coefficient m is the slope and the constant b is the y-intercept. We can write the equation of the desired line in the slope-intercept form by substituting the given information, m= 2 and b= 4, into the general form.
y= 2x+ 4
To find another point through which the graph passes, we will use the slope. If we rewrite the slope m= 2 as a fraction, it becomes 21. When a slope is written as a fraction, it tells us ratio between the change in the vertical direction and the change in the horizontal direction. This is commonly called rise over run.
m=rise/run ⇒ m=2/1
Since we know that the equation intercepts the y-axis at (0, 4), we will travel 1 step to the right and 2 steps up from there. Finally, we draw a line that passes through the points.
