Graph the linear equation using the slope, and y-intercept.
y=5/6x-4
http://www.mathsisfun.com/data/grapher-equation.html
To graph the linear equation y = (5/6)x - 4 using the slope and y-intercept, follow these steps:
Step 1: Plot the y-intercept
The y-intercept is the point where the line intersects the y-axis, which is represented by the value of y when x = 0. In this case, the y-intercept is -4. So, plot the point (0, -4) on the coordinate plane.
Step 2: Determine the slope
The slope of the line represents the rate of change between the y-values and x-values. In this equation, the slope is 5/6. The slope can be visualized as the rise over run, where the numerator represents the change in the y-value and the denominator represents the change in the x-value.
Step 3: Use the slope to find additional points
To find additional points on the line, start at the y-intercept point (0, -4). Then, using the slope of 5/6, identify another point by moving 5 units up and 6 units to the right (or alternatively, move 5 units down and 6 units to the left). Plot this point.
Step 4: Connect the points
Once you have plotted the y-intercept and one additional point, draw a straight line that passes through these two points. This line represents the graph of the linear equation y = (5/6)x - 4.
Your final graph should be a straight line that passes through the points (0, -4) and (6, 1).