Question

Write the equation of the line in fully simplified slope-intercept form.

-12-11-10 -9 -8 -7 -6 -5 -4 -3-2
219
11
10
986
1
43254
- 2 + 56700
-8
-9
9012
-10
-11
-12
N
3 4 5 6 7 8 9 10 11 12

Answer 1

Based on the graph shown below, an equation of the line in fully simplified slope-intercept form is y = 2/5(x) + 6.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

`y - y_1 = m(x - x_1)`

Where:

• x and y represent the data points.
• m represent the slope.

First of all, we would determine the slope of this line by using these points (-5, 4) and (0, 6);

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

Slope (m) = (6 - 4)/(0 - (-5))

Slope (m) = (6 - 4)/(0 + 5)

Slope (m) = 2/5

At data point (0, 6) and a slope of 2/5, an equation for this line can be calculated by using the point-slope form as follows:

y - 6 = 2/5(x - 0)

y = 2/5(x) + 6

Complete Question:

Write the equation of the line in fully simplified slope-intercept form.