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Irina18 [472]
3 years ago
12

Write the slope-intercept form of the line that passes through the points (6, 1) and (5, 4)

Mathematics
1 answer:
lora16 [44]3 years ago
4 0
Remember that the general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables (and the coordinate points on the graph). 
First start by finding m, the slope. To find slope, use the equation:m = slope =  \frac{ y_{2} - y_{1} }{x_{2}-x_{1}}
where x_{2} and y_{2} are the x and y values of one coordinate point , and x_{1} and y_{1} are the x and y values of another coordinate point . Since we are given two coordinate points, that means we can find the slope using the slope equation. 
Let's choose (6, 1) as your (x_{2}, y_{2}) point and (5, 4) as your (x_{1}, y_{1}) point, but you can switch those if you want! That makes x_{2} = 6,  y_{2} = 1 and x_{1} = 5, y_{1} = 4. Plug these values into the slope equation:
slope = \frac{ y_{2} - y_{1} }{x_{2}-x_{1}}\\
slope =  \frac{1-4}{6-5} \\
slope = -3

Now you know the slope of your line that passes through the points is m=-3. Plug that into your slope-intercept equation:
y = -3x +b 

Finally you want to find b. To find b, just plug in one of your coordinate points and solve for b. I'll use (6,1), but you can use either one!
y = -3x +b\\
1 = -3(6) + b\\
1 = -18 + b\\
b = 19

Put b into your slope intercept equation to find your final equation of your line:
y = -3x + 19

The equation of your line is y = -3x + 19
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The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?
Korvikt [17]

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A'(1,-5)

Step-by-step explanation:

The coordinates of the given quadrilaterals are

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(x,y)\rightarrow(y,x)


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This implies that,


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8 0
2 years ago
Read 2 more answers
If a 2-kg block compresses a spring 800mm from its relaxed state, how much potential energy does the block have due to the sprin
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Step-by-step explanation:

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5 0
2 years ago
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The required number will be 16

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hope it helps you cap !!

Anti - Venom

5 0
3 years ago
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