Question

Write the equation of the table below. Use Slope-Intercept Form, y = mx +b .

x|y
1|7
2|9
3|11
4|13

Answer 1

To find the equation of the line in slope-intercept form (y = mx + b) based on the provided table of x and y values, we first need to determine the slope (m) and the y-intercept (b).

**Step 1: Find the slope (m)**

The slope (m) can be calculated using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points (1, 7) and (2, 9):

\[
m = \frac{9 - 7}{2 - 1} = \frac{2}{1} = 2
\]

**Step 2: Find the y-intercept (b)**

To find the y-intercept, we can use one of the points and the slope in the equation \(y = mx + b\). Let's use the point (1, 7):

\[
7 = 2(1) + b
\]
\[
7 = 2 + b
\]
\[
b = 7 - 2 = 5
\]

**Final Equation:**

Now that we have m = 2 and b = 5, we can write the equation in slope-intercept form:

\[
y = 2x + 5
\]

This is the equation of the line that represents the data in the table.