The table shows how much an air-conditioning repair company charges for different numbers of hours of work.graph the data and find the and y-intercept from the. then write the equation for the grap intercept formh in slope
Lacking data. Cannot copy and paste here.
To graph the data from the table, you will need to plot the given points and connect them to form a line. The points on the graph will represent the number of hours of work (x) and the corresponding charges (y).
Without the actual table, I will assume it looks like this:
Number of Hours (x) | Charges (y)
------------------- | ----------
0 | $50
1 | $75
2 | $100
3 | $125
To plot the points on a graph, assign the hours of work (x) values along the x-axis and the charges (y) values along the y-axis. The plotted points would be (0, 50), (1, 75), (2, 100), and (3, 125).
Next, draw a straight line passing through these points to represent the relationship between hours of work and charges. The line should pass through or come close to the plotted points.
Now, to find the y-intercept (where the line crosses the y-axis), simply locate the point where x = 0. In this case, it is (0, 50). The y-intercept is the y-coordinate of this point, which is $50.
To write the equation of the line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to determine the slope.
To find the slope, choose any two points from the table. Let's use (0, 50) and (2, 100). The formula for slope (m) is given by:
m = (y2 - y1) / (x2 - x1)
Substituting the values:
m = (100 - 50) / (2 - 0)
m = 50 / 2
m = 25
So, the slope of the line is 25.
Now, we can write the equation using the slope-intercept form: y = mx + b.
m = 25 (slope)
b = 50 (y-intercept)
Therefore, the equation of the line would be:
y = 25x + 50
This equation represents the relationship between the number of hours worked (x) and the charges (y) for the air-conditioning repair company.