Question

What is the equation of the straight line shown below. give your answer in the form Y = MX + C where m and c are integers or fractions in the simplest forms

Answer 1

An equation of the line that is shown in the graph passing through the points (-2, -8) and (0, 12) is y = 10x + 12.

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 (-2, -8) and (0, 12);

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

Slope (m) = (12 - (-8))/(0 - (-2))

Slope (m) = (12 + 8)/(0 + 2)

Slope (m) = 20/2

Slope (m) = 10.

At data point (0, 12) and a slope of 10, an equation for this line can be calculated by using the point-slope form as follows:

y - 12 = 10(x - 0)

y = 10x + 12