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Finger [1]
3 years ago
9

A line passes through the points (6, 2) and (5, 0). What is its equation in slope-intercept form?

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer:

y = 2x - 10

Step-by-step explanation:

y2 - y1/ x2 - x1

0 - 2 / 5 - 6

= 2

y = 2x + b

2 = 2(6) +b

2 = 12 + b

-10 = b

The equation is y = 2x - 10

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Find the area of a rectangle with side lengths 5/4 feet and 5/3 feet
devlian [24]

Answer:

25/12 square feet

Step-by-step explanation:

The area of a rectangle can be found using the formula A=l*w. Here l = 5/4 and w=5/3. Substitute the values into the formulas.

A=l*w

A=(5/4)(5/3)

A=25/12 square feet

7 0
3 years ago
What is an equation of the line that passes through the points (4,-6) and (8,-4)​
qaws [65]

Answer:

y =  \frac{1}{2} x - 8

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Using the gradient formula above,

m =  \frac{ -4 - ( - 6)}{8 - 4}  \\ m =  \frac{ - 4 + 6}{4}  \\ m =  \frac{2}{4}  \\ m =  \frac{1}{2}

Substitute the value of m into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x=4, y= -6,

-6= ½(4) +c

-6= 2 +c

c= -6 -2 <em>(</em><em>-2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

c= -8 <em>(</em><em>simplify</em><em>)</em>

Thus, the equation of the line is y= ½x -8.

4 0
3 years ago
I'm having difficulty finding out what a slope is and does
olchik [2.2K]
"Slope<span> is  denoted by the letter m; there is not a clear answer to the question </span><span>"y = mx + c". The direction of a line is either increasing, decreasing, horizontal or vertical."</span>
6 0
3 years ago
Read 2 more answers
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stepan [7]
Alrighty! D represents the miles. It is constant, or exact, the whole time (t).

Knowing that, we can write the equation, almost like a story.

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Words: 6 miles every hour= results in your distance.

Does the make sense?

4 0
3 years ago
The table shows the number of books each student read this month. Move bars to the graph to show data.
Airida [17]
This is so easy. The answers are literally right there
6 0
3 years ago
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