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SVEN [57.7K]
1 year ago
4

Write the equation of the line that passes through the given points. ​(8​,0​) and ​(0​,4​)

Mathematics
1 answer:
andrey2020 [161]1 year ago
8 0

Answer:

y =  -  \frac{1}{2} x + 4

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

This is also known as the slope-intercept form.

\boxed{gradient = \frac{y1 - y2}{x1 - x2}  }, \\  where \:  (x1, y1)  \: is  \: the \:  1st  \: coordinate \:  and  \: (x2, y2)  \: is  \: the  \: 2nd  \: coordinate.

Find the value of m using the gradient formula above:

m =  \frac{4 - 0}{0 - 8}  \\ m =  \frac{4}{ - 8}  \\ m =  -  \frac{1}{2}

Substitute m= -½ into the equation:

y= -½x +c

To find the value of c, substitute a pair of coordinates:

When x= 0, y=4,

4 =  -  \frac{1}{2} (0) + c \\ 4 = c \\ c = 4

Thus, the equation of the line is y= -½x +4.

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URGENT!!!<br> what's the answer to this?
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When you're dividing fractions, you have to keep, change, flip

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Which of the following equation represents a horizontal line that passes through the point (1,-2) 1.x=1 2.y=-2 3.y=-2x+1 4.y=x-2
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