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Talja [164]
2 years ago
11

A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line?

Mathematics
1 answer:
masya89 [10]2 years ago
3 0
Y-y1=m(x-x1)
(x1,y1) is a given point
m=slope
y-(-3)=1/2(x-(-3))
y+3=1/2(x+3) is an equation



2x+3y=6
x+y=4
multiply second equation by -2 and add to first

2x+3y=6
<u>-2x-2y=-8 +</u>
0x+1y=-2

y=-2
sub back

x+y=4
x-2=4
add 2
x=6

x=6
y=-2
(6,-2)
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Simultaneous equations 5x+y=28 x+y=2
ludmilkaskok [199]

Answer:

<h2>( \frac{13}{2}  \:,  -  \frac{9}{2} )</h2>

Step-by-step explanation:

5x + y = 28

x + y = 8

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Substitute the given value of y into the equation 5x + y = 28

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Move constant to R.H.S and change its sign

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Subtract the numbers

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\frac{4x}{4}  =  \frac{26}{4}

Calculate

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Now, substitute the given value of x into the equation y = 2 - x

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The possible solution of the system is the ordered pair ( x , y )

<h2>(x \: y) = ( \frac{13}{2} , \:  -  \frac{9}{2} )</h2>

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

5 \times  \frac{13}{2}  -  \frac{9}{2}  = 28

\frac{13}{2}  -  \frac{9}{2}  = 2

Simplify the equalities

28 = 28

2 = 2

Since , all of the equalities are true, the ordered pair is the solution of the system.

(x  \:, y \: ) = ( \frac{13}{2}  \: , -  \frac{9}{2})

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