find the solution to y=-1/2x-6 and y=7/6x+7 on a graph
To find the solution to the equation y = -1/2x - 6 and y = 7/6x + 7 on a graph, we can plot both equations and determine the point at which they intersect.
First, we will plot the first equation y = -1/2x - 6:
To make it simpler, let's rearrange the equation in slope-intercept form:
y = -1/2x - 6
This equation tells us that the slope (m) is -1/2, and the y-intercept (b) is -6.
To plot this line, we start at the y-intercept, which is -6, and then use the slope to locate other points. Since the slope is -1/2, we move down 1 unit and to the right 2 units from the y-intercept. We can do this multiple times to get more points.
Now, let's plot the second equation y = 7/6x + 7:
Similarly, let's rearrange the equation in slope-intercept form:
y = 7/6x + 7
This equation tells us that the slope (m) is 7/6, and the y-intercept (b) is 7.
To plot this line, we start at the y-intercept, which is 7. Then, for each unit we move to the right, we go up 7/6 units.
Now, let's graph both equations on the same axes:
graph