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2 years ago

6

Write the slope intercept form of the equation of each line

1 answer:

lozanna [386]2 years ago

8 0

Answer:

The slope is 1/4 so the slope intercept form is y=1/4+3

Step-by-step explanation:

To find the slope the easiest way from looking at a graph is just to find the rise over run. From looking at the graph we can see that the next point from 0,3 is 4,4. The y here is increased by 1, which means the rise is 1. The x is increased by 4 so the run is 4. From putting rise (1) over run (4) the slope is 1/4. The formula for slope intercept is y=mx+b. m is slope so we substitue that for 1/4 so now we have y=1/4x+b. Then the b is the y intercept, or, at what point the line crosses the y line. Which in this case is 0,3 so the y intercept would be 3 because that is what height it crosses the y line.

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Which equation represents the line through (4, -6) and (0, 2)?

lukranit [14]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

$m=\displaystyle\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (4, -6) and (0, 2):

$m=\displaystyle\frac{-6-2}{4-0}\\\\m=\displaystyle\frac{-8}{4}\\\\m=-2$

Therefore, the slope of the line is -2. Plug this into $y=mx+b$ :

$y=-2x+b$

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into $y=-2x+b$ :

$y=-2x+2$

I hope this helps!

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Luba_88 [7]

Answer:

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Step-by-step explanation:

-5 3/4 - 3 1/2

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OlgaM077 [116]

Explanation:

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Setler79 [48]

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