Graph the equation:
x-5y=8
Thank you!
To graph the equation x - 5y = 8, we need to rearrange it into slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Rearranging the equation:
x - 5y = 8
-5y = -x + 8
y = (1/5)x - (8/5)
Now we have the equation in slope-intercept form. The coefficient of x (1/5) represents the slope, and the constant term (-8/5) represents the y-intercept.
To graph the equation, follow these steps:
1. Plot the y-intercept on the y-axis. In this case, the y-intercept is -8/5, which is equal to -1.6. So, put a point at (0, -1.6).
2. Use the slope to determine the next point. The slope is 1/5, which means for every 5 units you move horizontally to the right, you go up 1 unit vertically.
3. Starting from the y-intercept point, move 5 units to the right. This takes you to the point (5, -1.6).
4. From there, go up one unit. This brings you to the point (5, -0.6).
5. Repeat steps 3 and 4 to plot more points if needed.
6. Connect the points with a straight line. This line represents all the solutions to the equation x - 5y = 8.
Note that the line should extend infinitely in both directions since the equation is not restricted to specific values of x or y.
I hope this explanation helps you graph the equation!
It is a straight line
when y = 0, x = 8
so put a dot on the x axis at x = 8
when x = 0, y = -8/5 = - 1.6
so put a dot on the y axis at y =-1.6
Draw a straight line through those two dots.
The end