Question

Find the equation of the line described. Write the equation in slope intercept form. graph the line.horizontal line that contains (-3, 6). What is the equation of the line?

Answer 1

Step 1: Concept/Formula

The equation of a line formula in slope-intercept form can be written as shown below.

`y\text{ = mx + c}`

Where, m = slope and c is the intercept on the y-axis

Step 2:

Since the line is horizontal, the line will pass through the intercept at 6.

Graph

Step 3: Find the slope m and intercept c.

From the graph, Slope m = 0 because the line is horizontal.

The intercept c = 6

Step 4: Equation of a line.

The equation of a line in slope-intercept form is given as:

`\begin{gathered} y\text{ = mx + c} \\ y\text{ = 0 }*\text{ x + 6} \\ y\text{ = 0 + 6} \\ y\text{ = 6} \end{gathered}`

The equation of line is: y = 6