What is the y coordinate of the y−intercept of the line that passes through the points (−4, −1) and (4, 5)? Numerical Answers Expected! need helppp please...
first find the slope do u know how?
yes and then
do it! tell me what u get
ok
i get 6/8
yes reducing u get 3/4 right?
oh yeah
now u have one point of the line (4,5) or (-4,-1) whichever (but not both) and u have m=3/4 the slope the line has the following equation \[ \large y-y_0=m(x-x_0) \] where (x0,y0) is one of the points u have plug in and tell me what u get
y-5 = 3/4(x-4) im not sure what i have to do :/
great this is the equation of the line now the y-intercept is what u get when u have x=0
so \[ \large y-5=\frac{3}{4}(0-4) \] \[ \large y=5+\frac{3}{4}(-4)= \]
u finish it
do u understand what i did?
so the answer is 5
no
simplify the 4's what is left?
0
no 2
no \[ \large \frac{-4}{4}=-1 \] right=
yes y=2
heres is another way \[ \large y-5=\frac{3}{4}(x-4) \] \[ \large y-5=\frac{3}{4}x-3 \] \[ \large y=\frac{3}{4}x-3+5 \] \[ \large y=\frac{3}{4}x+2 \] this equation has the form \[ \large y=mx+b \] where m is the slope as before and b is the y-intercept
ok thanks again.
u r welcome
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