Question

Im trying to do IXL and I dont understand the way my teacher teaches (ironic right?)

Can you please help?
the points (z,0) and (4,6) fall on a line with a slope of 6. What is the value of z?
If its not right im gonna report you

Answer 1

z = 3

Explanation:

First we want to find out how they found the slope of the line. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(6 - 0)/ (4 - z)

Simplify the parentheses.

= (6) / (4 - z)

Simplify the fraction.

= 6/(4 - z)

it is given that 6 is your slope. So let's add 6 to the left side of the equal sign.

6 = 6 / (4 - z)

To solve for z, we need to multiply both sides by (4 - z)

(4 - z)6 = 6

Now, divide both sides by 6 to isolate the expression of (4 - z)

4 - z = 1

Add z to both sides so it becomes positive.

4 = z + 1

Subtract 1 from both sides to isolate z.

3 = z

This is your answer.

Let's check it by plugging it back into the slope formula.

(6 - 0)/ (4 - z)

(6 - 0)/ (4 - 3)

= 6/1

= 6

Your answer is correct.

Hope this helps!