2/3x = y -6 linear or nonlinear

Mathematics

1 answer:

djyliett [7]2 years ago

3 0

Answer:linear

Step-by-step explanation:

If you go onto desmos and write the equation you get a straight line and it’s not curved

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Systems of equations.<br><br> Y= -3x+1<br> Y=x-3 How do i start it

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You can set both equations together

y = -3x + 1

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we can replace the y of one equation with the other side

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add 3x on both sides

1 = x + 3x -3
add 3 on both sides

1 + 3 = x+ 3x

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3 years ago

Write a linear equation that passes through the two points (-6, -7) and (3, -4).

Phantasy [73]

linear equation that passes through the two points (-6, -7) and (3, -4) is $y=\frac{1}{3}x-5$

Step-by-step explanation:

We need to write the equation that passes through the two points (-6, -7) and (3, -4).

The equation can be written is point slope form.

The standard form of point slope equation is:

$y=mx+b$

where m is the slope and b is the y-intercept

Finding slope m:

Slope can be found by using formula:

$slope = \frac{y_{2}-y_{1}}{x{2}-x_{1}} \\Where\,\, y_{2}=-4,y_{1}=-7,x{2}=3,x_{1}=-6\\slope =\frac{-4-(-7)}{3-(-6)}\\slope=\frac{-4+7}{3+6}\\slope=\frac{3}{9}\\slope=\frac{1}{3}$