Aline passes through the points (-4,5) and (4,1). find the slope ? what is the y-intercept of the equation? write the equation of the line of the above points. shown all work below . you so much if you actually answer this question with a good explaination along with work shown.

Hey there!

Use the slope formula.

m= (y2-y1)/(x2-x1)

Plug in the points. (-4,5) and (4,1)

m= (1-5)/(4-(-4)

m= -4/4+4

m=-4/8

m=-1/2

To find the y-intercept, first plug it into the the point slope. You just need one set of points for this, I will use (4,1)

y-y1=m(x-x1)

y-1= -1/2(x-4)

y-1=-1/2x+2

Add 1 to the other side.

y= -1/2x+3

The 3 is your y-intercept. It is in slope intercept form now. (y=mx+b) The b is the y-intercept.

The equation of the line is usually represented by the slope intercept form, which you already have: y=-1/2x+3.

I hope this helps!

~kaikers

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%