Answer:
The slope intercept form of the line passing through (8,4) and (0,2) is
y=1/4 x+2
Explanation:
The points given are (8,4)and (0,2).
[tex](x_1,y_1 )=(8,4)[/tex]
[tex](x_2,y_2 )=(0,2)[/tex]
To write the slope intercept form of this equation we have to calculate the y intercept and slope.
Slope of a line m is the ratio of the difference between y coordinate to the difference between x coordinate.
It is given by the equation [tex]m= \frac{(y_2-y_1)}{(x_2-x_1 )} =\frac{(2-4)}{(0-8)}= \frac {(-2)}{(-8)}=\frac {1}{4}[/tex]
y intercept b is the value of y when value of x is 0.
b=value of y at (0,y)
Here b=2
slope-intercept form is [tex]y=mx+b[/tex]
[tex]y=1/4 x+2[/tex]
