Question

what is the Slope- intercept form and the standard for for the pints (4,4) and (5,7) I got that the slope is =3

Answer 1

slope = (y2 - y1) / (x2 - x1)
slope = (7 - 4) / (5 - 4)
slope = 3/1
you got the slope right.

Slope intercept form is y = mx + b

so we use y = mx + b
slope(m) = 3
use either of your points...(4,4)...x = 4 and y = 4
now we sub
4 = 3(4) + b
4 = 12 + b
4 - 12 = b
- 8 = b

so slope intercept form is :
y = 3x - 8

standard form : Ax + By = C
y = 3x - 8 --- subtract 3x from both sides
-3x + y = - 8 --- multiply by -1 to make x positive
3x - y = 8 <== standard form

Answer 2

any questions ?

Answer 3

thank you :)

Answer 4

no

Answer 5

good...happy to help :)