Question

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

(x - 8). What is the
slope-intercept form of the equation for this line?

Answer 1

The slope intercept form of the line passing through (8,4) and (0,2) is

y=1/4 x+2

Step-by-step 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= ((y_2-y_1))/((x_2-x_1 )) =((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`