Answer/Explanation:
y=3/4x+6 is a linear graph because it in the slope-intercept form, y = mx + b.
m is the slope if the line, how steep the line is, in the form rise/run. (3/4)
b is the y-intercept, where the line hits the y-axis. (6)
"x" and "y" are points on the line.
To graph a line, you need at least two points, ordered pairs in the form (x, y).
Graph using slope and y-intercept
One of the point is the y-intercept (0, 6).
Another point can be found by increasing the y-coordinate by 3, the rise, then increasing the x-coordinate by 4, the x-coordinate. (4, 9).
Plotting these two points then connecting them is the line when graphed.
Graph by substituting a random x-value
You can still use the point (0, 6).
For example, let x=5.
y = 3/4x+6
y = (3/4)(5)+6
y = 15/4 + 6
y = 39/4
y = 9.75
Therefore another point is (5, 9.75).
Plot (0, 6) and (5, 9.75) and connect the points to graph.