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Anastasy [175]
3 years ago
10

The graph of a line passes through the points (0, -2) and (6.0). What is

Mathematics
1 answer:
9966 [12]3 years ago
5 0

Answer:

y=\frac{1}{3}x-2

Step-by-step explanation:

The equation of a line is given in the form  y=mx+b

Where

m is the slope with formula  m=\frac{y_2-y_1}{x_2-x_1}

and

b is the y-intercept [y axis cutting point of line]

Given the two points (0, -2) and (6,0),

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Now, we find m using formula:

m=\frac{0+2}{6-0}=\frac{1}{3}

Now we have

y=\frac{1}{3}x+b

Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:

y=\frac{1}{3}x+b\\0=\frac{1}{3}(6)+b\\0=2+b\\b=-2

Thus,

equation of line = y=\frac{1}{3}x-2

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Answer:

y=\frac{4}{3}x+4 is the equation of line in slope intercept form.

Step-by-step explanation:

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First ordered pair: (-3,0)

Second ordered pair: (0,4)

We have two points and need to find equation of line in slope intercept form

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Equation of line in slope intercept form:

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Required equation:

y=\frac{4}{3}x+4

Thus, y=\frac{4}{3}x+4 is the equation of line in slope intercept form.

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