Question

Write an equation from slope-intercept form (

𝑦
=
𝑚
𝑥
+
𝑏
y=mx+b ) from the table below. Click Here for Help Video.

𝑥
x
𝑦
y
0
0
−
3
−3
5
5
2
2
10
10
7
7
15
15
12
12

Answer 1

To write the equation in slope-intercept form \( y = mx + b \) using the points from the table, we first need to identify the slope (m) and the y-intercept (b).

From the provided points, let's choose two points to calculate the slope. We can use the points (0, 0) and (5, 5).

1. **Calculate the slope (m)**:

Using the formula for slope:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1) = (0, 0)\) and \((x_2, y_2) = (5, 5)\):

\[
m = \frac{5 - 0}{5 - 0} = \frac{5}{5} = 1
\]

2. **Identify the y-intercept (b)**:

The y-intercept (b) is the value of y when x = 0. From the point (0, 0), we see that \( b = 0 \).

Now we can write the equation in slope-intercept form:

\[
y = 1x + 0 \quad \text{or simply} \quad y = x
\]

Therefore, the equation from the table is:
\[
y = x
\]