9. What is an equation of the line that passes through the points (-6,-3) and (-2,3)

Question

Answer 1

To find the equation of the line that passes through the points

and

, we can use the slope-intercept form of a linear equation, which is

, where

is the slope of the line and

is the y-intercept.Step 1: Calculate the slope of the line using the formula:

where

and

are the coordinates of the two points.Substituting the given points

and

into the formula, we get:

Step 2: Use the slope-intercept form of a linear equation to find the equation of the line.We know that the slope

and we can use one of the given points to find the y-intercept

. Let's use the point

.Substituting the values of

and the coordinates of the point

into the equation

, we get:

Step 3: Write the equation of the line using the slope-intercept form.Now that we have the slope

and the y-intercept

, we can write the equation of the line as:

Therefore, the equation of the line that passes through the points

and

is

.

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