Question

Use technology to find points and then graph the line y=5(x−4)+5, following the instructions below.

Answer 1

A graph of the linear equation y = 5(x - 4) + 5 is shown in the image attached below.

In Mathematics and Euclidean 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 or rate of change.

Based on the information provided about the graph of this line, we can reasonably infer and logically deduce that a linear equation that models it can be written as follows;

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

y = 5(x - 4) + 5

Based on the given linear equation, we would start by plotting the y-intercept:

y = 5(0 - 4) + 5

y = -20 + 5

y = -15

Next, we would use an online graphing tool to plot the given linear equation for the values in its domain by starting with its y-intercept and moving 15 units down, followed by a horizontal shift to the right by 3 units as shown in the graph attached below.