Question

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

12
11
10
-12-11-10-9-8-7-6-5-4-3-2-1
9
8
-10
ܐ ܘ ܘ ܐ ܬ ܬ ܝ ܣ ܩ
y
-11
-12
1 2 3 4 5 6 7 8 9 10 11 12

Answer 1

Based on the graph, the equation of the line in fully simplified slope-intercept form is y = -x + 3.

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 for this line by using these points (0, 3) and (3, 0);

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

Slope (m) = (0 - 3)/(3 - 0)

Slope (m) = -3/3

Slope (m) = -1

At data point (0, 3) and a slope of -1, an equation for this line can be calculated by using the point-slope form as follows:

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

y - 3 = -1(x - 0)

y = -x + 3

Complete Question:

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