What is the zero of the linear function below?

Step-by-step explanation:

Remember that the line intersects the x-axis when .Therefore, the zero of a linear function is the value of the variable "x" when the value  of "y" is zero.

 The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

In this case, given the graph of the function,you can identify that the y-intercept is:

 By definition, the slope can be calculated with this formula:

Then, in order to find the slope, you can pick the points (4,2) and (-8,-1) and say that:

So, substituting these values into the formula, you get:

Then the linear function has this form:

Finally, in order to find the x-intercept, you can substitute into the function and solve for "x". This is:

g

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3