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Kipish [7]
3 years ago
10

Writing a linear equations

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

y = (1/6)x - 3

Step-by-step explanation:

The line goes through (0, -3) and (6, -2) and the slope is given by

m = (y2 - y1)/(x2 - x1)

= (-2 -(-3))/(6 - 0)

= 1/6

so the slope-intercept form of a linear equation is given by

y = mx + b

Using the value of m we just obtained and using the point (0, -3) to find b, we get

(-3) = (1/6)(0) + b ---> b = -3

Therefore, the equation takes the form

y = (1/6)x - 3

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Answer:

The graph of a linear equation can either run uphill or downhill. The slope is positive when the line is uphill, while the downhill line represents a negative slope. To find the slope, find two coordinates along the line.

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!<br><br> Factor.<br><br> 11x^2 + 35x + 6
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The answer would be (11x+2)(x+3).

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A swimming pool has an average depth of 1.6 m. It is 50 m long and 30 m wide. What is the volume?
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PLZ HELP ASAP!
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<span>To evaluate the given expression, we need the values of each variable and substitute these values to the expression. Then, go on with the operations involved.

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PLS HELP WILL GIVE BRAINLIEST :)
Rus_ich [418]

Step-by-step explanation:

the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

y - y1 = ax

in our case

y + 1 = (1/2)x

and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

-x + 2y = -2

x - 2y = 2

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2 years ago
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