Question

for each of the following, write the equation of the line determined by the given pair of points in slope intercept form or in the form x=a, or y=b. complete parts a thru c. a. (-4,2) and (3,-5)b. (0,0) and (4, 1)c. (0, -4/5) and (4/5, 0)

Answer 1

The points given are,

`(-4,2),(3,-5)`

The equation of line in slope-intercept form ,

`y-y_1=m(x-x_1)`

The slope is calculated as

`m=(-5-2)/(3-(-4))`
`m=(-7)/(7)`
`m=-1`

The equation of line determined as,

`y-2=-1(x-(-4))`
`y-2=-1(x+4)`
`y-2=-x-4`
`y=-x-2`

The equation of line formed is,

`y=-x-2`