Question

The point slope form of the equation of a line that passes through points (84) and (0.2) isy - 4 =

Answer 1

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).

$(x_1,y_1 )=(8,4)$

$(x_2,y_2 )=(0,2)$

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 $m= \frac{(y_2-y_1)}{(x_2-x_1 )} =\frac{(2-4)}{(0-8)}= \frac {(-2)}{(-8)}=\frac {1}{4}$

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 $y=mx+b$

$y=1/4 x+2$