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GuDViN [60]
3 years ago
10

WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.

Mathematics
2 answers:
wel3 years ago
6 0

Answer:

y=\frac{6}{5}x-5

Step-by-step explanation:

Hi there!

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

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

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

Plug in the two given points (0,-5) and (5,1)

m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}

Therefore, the slope of the line is \frac{6}{5}. Plug this into y=mx+b:

y=\frac{6}{5}x+b

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

y=\frac{6}{5}x+b

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

y=\frac{6}{5}x-5

I hope this helps!

Arturiano [62]3 years ago
5 0

Answer:

y = 6/5x - 5

Step-by-step explanation:

To find the equation of a linear line you need 2 things: the slope and the y-intercept.

The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.

The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.

So you get y = 6/5x - 5.

Here is standard form too if you need this instead: 6x - 5y = 25

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6 0
3 years ago
Need help on graphing problem
aivan3 [116]
J is your answer.

Slope is rise over run + your Y intercept.

Your y- intercept is the point in the graph in which the line passes through, the line passes through -2, so you know -2 is going to be your answer at the end. And slope is rise/run.

From one point to another, you rise 1 time , and run over 3 so you know your answer is

y = 1/3x - 2

hope this helps :)
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2 years ago
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Read 2 more answers
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