Graph the following equation and find the Y-intercept Y=x+8
You will need to graph this equation yourself since these boards can't handle that. Note that it is a straight line with the general formula of
y = mx + b.
m = 1 in the equation. That is the slope of the line. The y intercept is b; that is 8 in your equation.
To graph the equation Y = x + 8, you need to create a coordinate plane, plot points, and draw a line connecting the points.
To find the y-intercept, you need to identify the point where the line intersects the y-axis.
To do this, set x to zero and solve for y.
So, when x = 0, the equation becomes:
Y = 0 + 8
Y = 8
Now you have the point (0, 8), which is the y-intercept.
To graph the equation, follow these steps:
1. Draw a coordinate plane on a piece of graph paper or use software with a graphing feature.
2. Plot the point (0, 8) on the y-axis.
3. From the y-intercept, move one unit in the positive x-direction and one unit in the positive y-direction to plot another point.
For example, from (0, 8), move to (1, 9).
4. Repeat step 3 by adding one more unit to each coordinate to plot additional points.
For example, (2, 10), (3, 11), (-1, 7), (-2, 6), (-3, 5), etc.
5. Draw a straight line connecting all the points. Note that the line will extend indefinitely in both directions.
The graph of the equation Y = x + 8 will be a straight line passing through the point (0, 8) with a slope of 1 (for every unit increase in x, y increases by 1). The line will extend diagonally upwards from left to right.