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wariber [46]
3 years ago
8

What is the equation of the graphed line in standard form?

Mathematics
2 answers:
Alona [7]3 years ago
7 0
A. 12x+y=6<span>B. −2x+y=6</span>
sweet [91]3 years ago
4 0

Answer:

\frac{1}{2}x-y=-6

Step-by-step explanation:

Let

A(0,6),B(4,8) ------> observing the graph

The point A is the y-intercept of the line

<u>Find the slope</u>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{8-6}{4-0}

m=\frac{2}{4}

m=\frac{1}{2}

Find the equation of the line into slope-intercept form

y=mx+b

we have

m=\frac{1}{2}

b=6  ------> remember point A

substitute

y=\frac{1}{2}x+6

Convert to standard form

\frac{1}{2}x-y=-6

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Answer:

Two lines only can intersect if the lines are not parallel.

And given a linear equation:

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Where a is the slope and b is the y-intercept, the general equation for a parallel line to this one is:

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Let's describe the two cases:

If the lines have the same slope, then you need to see the y-intercept.

If the y-intercept is different, then the lines never do intersect.

If the y-intercept is equal, then both equations describe the same line (as both have the same slope and the same y-intercept).

If the lines have different slope, then we can conclude that the lines are not parallel, and the lines will intersect at some point.

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5x+3y+6x+9y

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