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2 years ago

Find the slope and y-intercept. Pleasee

Mathematics

2 answers:

masha68 [24]2 years ago

6 0

Answer:

$slope=-2\\\\y-intercept=6$

Step-by-step explanation:

The slope is the change in the y-axis over the change in the x-axis. To find the slope, you need to move vertically from a given point. Once you are horizontal to another point, move over to it. Count the spaces between each:

Start at (0,6)
Move down to (0,4). Since you moved down two spaces, use the value -2 to define the rise
Move to the right to point (1,4). Since you moved to the right 1 space, use the value 1 to define the run.

Insert the values into $\frac{rise}{run}$ → $\frac{-2}{1}$

Simplify → $-2$

Therefore, the slope is -2.

The y-intercept is where $x=0$ and where the line crosses over the y-axis. The coordinate point where this happens is $(0,6)$ , so the y-intercept is 6.

:Done

tatyana61 [14]2 years ago

3 0

Answer:

slope: -2

y-intercept: 6

Step-by-step explanation:

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At noon, the temperature at a mountaintop research center is 11 degrees. Overnight the temperature drops to -19 degrees. Which e

MrMuchimi

Answer: -30

Step-by-step explanation:

My answer is correct because, All you have to do is subtract all the numbers by 11 and the one that has the sum -19 is the correct choice. In this case -30 does and we can make sure were orrect by subtracting 11 by -19 and that equals -30.

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2 years ago

Which equation does the graph of the systems of equations solve?

mihalych1998 [28]

Answer:

$\text{B. }\frac{1}{3}x-3=-x+1$

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to $(x_1,y_1)$ and $(x_2, y_2)$ (doesn't matter which you assign) and use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let:

$(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)$

The slope is equal to:

$m=\frac{0-1}{1-0}=\frac{-1}{1}=-1$

Therefore, the slope of this line is -1. In slope-intercept form $y=mx+b$ , $m$ represents slope, so one of the lines must have a term with $-x$ in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

$(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)$

Using the slope formula:

$m=\frac{-2-(-3)}{3-0}=\frac{1}{3}$

Thus, the slope of the line is 1/3 and the other line must have a term with $\frac{1}{3}x$ in it, eliminating answer choice C and leaving the answer $\boxed{\text{B. }\frac{1}{3}x-3=-x+1}$