Question

Here’s a graph of a linear function write the equation that describes that function

Answer 1

The answer is y = 4x - 1

Explanation:

First find two points on the line.

I will be using (-1, -5) & (1, 3).

Using the formula for slope, substitute in the values and solve:

y2-y1/x2-x1(This is the formula)

3--5/1--1(When using this formula, if y1 or x1 are negative, make them positive.)

3+5/1+1 or 8/2; which simplifies into 4/1.

So, the slope is 4/1.

Now we use point-slope form:

y - y1 = m(x-x1)

1. Substitute in the values.

y--5 = 4/1(x--1)

2. Simplify and distribute.

y + 5 = 4/1x + 4

3. Subtract 5 from both sides.

y = 4/1x - 1

4. Simplify.

y = 4x - 1