SOLUTION: Write the equation of the line that passes through (5,8) and (3,2) thank you

Question 197569: Write the equation of the line that passes through (5,8) and (3,2)

thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

First let's find the slope of the line through the points

and

Note:

is the first point

and

is the second point

.

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points

and

is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Distribute

Multiply

Add 8 to both sides.

Combine like terms.

Simplify

So the equation that goes through the points

and

is

Notice how the graph of goes through the points

and

. So this visually verifies our answer.
Graph of through the points

and

RELATED QUESTIONS
Write the equation of the line that passes through (2, 2) and (6, 3) in standard form... (answered by mananth)

Write the equation of the line that is perpendicular to the x-axis and passes through (2, (answered by josgarithmetic)

Write the equation of the line that passes through (5,8), and (3,2) thank... (answered by Alan3354)

Write an equation of the line that passes through (0,-4) and is parallel y=(3/)x+2. Write (answered by ankor@dixie-net.com)

Write the slope-intercept form of the equation of the line that passes through (3, 8) and (answered by MathLover1)

Write the slope-intercept form of the equation of the line that passes through (3, 8) and (answered by josgarithmetic)

Write an equation of a line that passes through the two points (-2, -3) and (8,... (answered by josgarithmetic,Alan3354)

Write the slope intercept form of the equation of the line that passes through (-2, -3)... (answered by ewatrrr)