Question

a line passes through (9, –9) and (10, –5).write an equation for the line in point-slope form. rewrite the equation in standard form using integers. y 9 = (x – 9); –4x y = –45 y 9 = (x 9); –4x y = –45 y – 9 = (x 9); –4x y = 45 y – 9 = (x – 9); –4x y = 45

Answer 1

The answer is y+9=4(x-9); -4x+y=-45

Answer 2

The equation of the line in point-slope form is given by:

`y-yo = m (x-xo)`
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:

`m = (y2-y1)/(x2-x1)`
Substituting values:

`m = (-5-(-9))/(10-9)`
Rewriting:

`m = (-5+9)/(10-9)`

`m = (4)/(1)`

`m=4`
Now we choose an ordered pair:

`(xo, yo) = (10, -5)`
Substituting values we have:

`y-(-5)=4(x-10)`

`y+5=4(x-10)`
We now rewrite the equation in its standard form:

`y = mx + b`
Where,
b: cut with the y axis.
We have then:

`y = 4x - 40 - 5 y = 4x - 45`
Answer:
point-slope form:

`y+5=4(x-10)`
or

`y+9=4(x-9)`
standard form

`y = 4x- 45`