Question

Find the equation of the line that passes through
(208,-2106) and (698, 9409)

Answer 1

The slope m of the line is found from the following formula:
\[m=\frac{y _{1}-y _{2}}{x _{1}-x _{2}}\]

Answer 2

ok so I got -11515/-490 what do I do next

Answer 3

I ''m stuck can you help

Answer 4

You are aiming for an equation of the form y = mx + b
What do you get when you simplify
\[m=\frac{-11515}{-490}\]

Answer 5

you get (47/2)

Answer 6

Good work! So now we have
y = 23.5x + b ..............(1)
To find the value of b you need to substitute the values of x and y from one of the given ordered pairs, say (208, -2106), and solve. Can you do that?

Answer 7

Substitute into equation (1)

Answer 8

ok hold on let me do the math

Answer 9

I got b=-6994

Answer 10

So is the answer y=23.5x-6994 is that correct

Answer 11

Correct again!! So substitute the value of b into equation (1) and you have the answer.
Yes your result just posted is correct. Well done :)

Answer 12

thanks

Answer 13

You're welcome :)