Question

Write an equation of the line that satisfies the given conditions. Give the equation ​(a) in​ slope-intercept form and ​(b) in standard form.
m=-3/8 (-4,8)

Answer 1

y-8=-3/8*(x-(-4))
this is a line with slope -3/8 shifted 8 up and 4 left
you can rewrite this in slope intercept or standard form

Answer 2

for slope intercept form you must rewrite it in
y=mx+b form
---------------------------------
y-8=-3/8*(x-(-4))
y=-3/8*(x+4) +8
expand the -3/8
y=-3/8*x + -3/8*4 + 8
y=-3/8x -12/8 + 8
y =-3/8x +52/8

Answer 3

so m = -3/8
b= 52/8

you can put the 52/8 in simpler fractions

Answer 4

so it would look like:
y=-3/8x+1/2

Answer 5

what is 52/8 in simpler terms

Answer 6

you can't reduce 52/8 because it is a improper fraction and it would be 6.5

Answer 7

okay then leave it but if u want u can just put it in simpler fractions

Answer 8

since 4 goes into both

Answer 9

52/8= 13/2

Answer 10

now for standard form u have to put it as
aX+bY=c
a,b,c are constants