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


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.


Rate answer
Wrong answer?

If your question is not fully disclosed, then try using the search on the site and find other answers on the subject Mathematics.

Find another answers

Load image