Question

Create an equation for the function shown on the graph. graph -3 on the x-axes, 2 arrows pointing down,-4 1/2 and -1 1/2
make it simple in a small paragraph and like kid wrote it

Answer 1

Okay! Let’s make a simple equation for the graph. It looks like the line goes down when we move from left to right and crosses through the point called (-3, -4.5) and also intersects at the point (-1, -1.5).

To create the equation, we first find the slope (how steep the line is). If we take the two points (-3, -4.5) and (-1, -1.5), we can use them to find the slope (m):

1. **Calculate the slope (m):**
\( m = \frac{y_2 - y_1}{x_2 - x_1} \)
\( m = \frac{-1.5 - (-4.5)}{-1 - (-3)} = \frac{3}{2} \)

2. **Use point-slope form:**
\( y - y_1 = m(x - x_1) \)
Let's use the point (-3, -4.5):
\( y - (-4.5) = \frac{3}{2}(x - (-3)) \)

3. **Simplifying it:**
\( y + 4.5 = \frac{3}{2}(x + 3) \)

4. **Final equation:**
So after some steps, we can rewrite this as:
\( y = \frac{3}{2}x + \frac{3}{2} \times 3 - 4.5 \)
\( y = \frac{3}{2}x + 4.5 - 4.5 \)
Which means we get:
\( y = \frac{3}{2}x \)

This is a simple equation that describes the line on the graph!