Question

1.Given the graph, find the following:A: Identify the slope of the lineB.Identify the y-intercept of the lineC.Identify the x-intercept of the lineD. Write the equation of the line in slope-intercept form (y = mx+b)

Answer 1

I couldnt even tell you the answer to this im horrible at graphing

Answer 2

A.

The slope of a line is the rate of change of the dependent variable (y) with respect to the independent variable (x).

Notice that for each increase of 3 units in the variable x, the variable y decreases 2 units. Then, the change in y is -2 when the change in x is 3. Then, the rate of change is:

`m=(\Delta y)/(\Delta x)=(-2)/(3)`

B.

The y-intercept of a line is the value of y in which the line crosses the Y-axis. In this case, the line crosses the Y-axis at y=4. Then, the y intercept is:

`4`

C.

Similarly, the x-intercept is the value of x in which the line crosses the X-axis. In this case, we can see that the x-intercept is:

`6`

D.

Since the slope m is equal to -2/3 and the y-intercept b is equal to 4, then the equation of the line is:

`y=-(2)/(3)x+4`