Question

What is the equation of the graphed line?

Hint: Determine the slope of the line.

y = x

Answer 1

Heres the graph:

Answer 2

Let's take any two points on the line.

Let's take (-1, 5) and (0, 0).

We can plug these into the slope formula.

\(m =\dfrac{y_2-y_1}{x_2-x_1}\)

\(m =\dfrac{0-5}{0+1}\)

\(m =\dfrac{-5}{1}\)

Can you divide that? @Leviatho

Answer 3

-5 right.

Answer 4

Find the (x,y) coordinates to do the questions.
Simple coordinates: like (-1,5) and (1,-5)
for slope m = (y1-y)/(x1-x)
m = (-5-5)/(1-(-1))) = -10/2
now to find the equation of line use point slope formula
\[(y-y_1) = m(x-x_1)\]
put any one of the coordinates in place of (x1,y1)

Answer 5

Yep, so the slope is -5.

Answer 6

Do you know what the y-intercept is? @Leviatho

Answer 7

I dont think so..

Answer 8

The y-intercept is the point where the line crosses on the y-axis.

Answer 9

Can you see where that is on the graph? @Leviatho

Answer 10

Would that be 0?

Answer 11

Yep, you got it!

And we plug these into the equation.

y = mx + b

Where m = slope, and b = y-intercept.

We found out that slope = -5, and y-intercept = 0

y = -5x + 0

Simplify:

y = -5x

So that's your equation!

Answer 12

Welcome to Open Study!

You can give medals by clicking 'Best Response'. @Leviatho

Answer 13

Thanks!

Answer 14

No problem!