Question

Write an equation of the line that passes through the given points in any form

Answer 1

An equation of the line in slope-intercept form that passing through the given points is y = -1/2(x) + 5/2.

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 (-3, 4) and (1, 2);

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

Slope (m) = (2 - 4)/(1 - (-3))

Slope (m) = (2 - 4)/(1 + 3)

Slope (m) = -2/4

Slope (m) = -1/2

At data point (1, 2) and a slope of -1/2, a function for this line can be calculated by using the point-slope form as follows:

y - 2 = -1/2(x - 1)

y = -1/2(x) + 1/2 + 2

y = -1/2(x) + 5/2