Chapter 4.2, Problem 12CYU

To determine

To find how to use the point-slope form of a line to graph the line.

Explanation of Solution

Given:

Line: $y-y_1=m(x-x_1)$

Point-slope intercept is a form of linear equations in two variables.

They can take the form $y-y_1=m(x-x_1)$ where m is the slope of the line and $(x_1,y_1)$ is a point that the line passes through.

When a point $(x_1,y_1)$ is given,

Substitute the value of the point in the given line equation, the linear equation takes the form $y=mx+c$ where c is a constant.

After attaining equation of this format, substitute random values of x in the equation $y=mx+c$ to find values of y. Plot the points $(x,y)$ in the graph.

Now, join all the points which forms a straight line.