Question

Select the equation that corresponds with the given graph.

Answer 1

You have a line passing through \((-1,0)\) and \((0,5)\). Find the slope and use the point-slope formula.

Answer 2

wut?^

Answer 3

\(y-y_0=m(x-x_0)\) is the point slope formula, where \(m\) is the slope and \((x_0,y_0)\) is a point on the line.

Answer 4

@nubeer help?

Answer 5

There are many ways to do this, possibly the most straightforward is to identify two points which the line passes through... can you find two such points, dmezz?

Answer 6

-1 and 5

Answer 7

Those are x-values? or y-values?
remember, a point consists of two values, an x and y value.
And you need two points.

I'll give you one of them, the line passes through the point (-1, 0) can you find another?

Answer 8

(5,0)

Answer 9

Almost... are you sure it's not (0,5) ? ;)

Answer 10

The line is in the positive direction.

You can rule out all answer choices with a negative slope.

The line is very steep, so you can rule out all answer choices with slopes that are less than one.

The y-intercept is at (0, 5), so b = 5. You can rule out all answer choices with b other than 5.

So, you are left with a line that looks like

y = >1x + 5

Answer 11

Yes it should be that tj

Answer 12

There will be either one choice that fits this description, or two choices that fit this description.

If there are two choices, you must find the exact slope in order to determine the answer.

Answer 13

Well, now you have two points :)
So, we do have a formula for getting the line that passes through two points... given the two ponts...
The two-point form

Do you know the formula?

Answer 14

i dont

Answer 15

I would not think of it as a formula, but a description. Slope is defined as rise (change in y) over run (change in x).

\[(-1,0) \ (0,5)\]-1 to 0 is a change in x of 1.

0 to 5 is a change in y of 5.

change in y / change in x is 5 / 1.

This matches our description of a positive steep slope that is greater than 1.

y = 5x + 5

Answer 16

Well, dmezz, given two points
\[\Large (a \ , \ b)\]\[\Large (c \ , \ d)\] the line that passes through them has this formula... don't blink ;)

\[\Large y=\frac{d-b}{c-a}(x-a)+b\]

Answer 17

@dmezzullo look at this picture to learn about different slopes and their visuals

Answer 18

@terenzreignz why would you both with that formula? You do not need that menacing formula to observe that to go from the first x point, -1, to the second x point, 0, the change is 1.

Answer 19

Or that the first y point of 0 to the second y point of 5 is a change

you guessed it

5

no formulas needed

Answer 20

Just for the sake of straightforward-ness. By all means, contribute your own method :)
My methods aren't very efficient, but formulaic, and step-by-step.