Question

Find the equation of the line that passes through the given points.

Part A

(1, 4.5) and (3, 6)
in fraction form pls

Answer 1

An equation of the line that is shown in the graph passing through the points(1, 4.5) and (3, 6) in fraction form is y = 3/4(x) + 15/4.

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 (1, 4.5) and (3, 6);

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

Slope (m) = (6 - 4.5)/(3 - 1)

Slope (m) = 1.5/2

Slope (m) = (3/2)/2)

Slope (m) = 3/4

At data point (3, 6) and a slope of 3/4, a function for this line can be calculated by using the point-slope form as follows:

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

y - 6 = 3/4(x - 3)

y = 3/4(x) - 9/4 + 6

y = 3/4(x) + 15/4