Question

y = negative three-halvesx + 4

–3x + 2y = 8

Answer 1

here the probelm in picture form

Answer 2

the first equation is in slope intercept form already i. e.:-

y = mx + c
where m = slope and c is the y-intercept
so if you compare this with your first equation you will have these 2 values

Answer 3

–3x + 2y = 8

equation of a line is y = mx+b

where m = slope and b = y-intercept

making the given equation agree with the line equation, equate y. we have:

-3x+2y=8
2y = 8+3y

divide both sides by 2, we have:

y = 4 + (3/2)x or

y = (3/2)x + 4

for solving y-intercept, substitute 0 to x and solve for y.

y = (3/2)(0) + 4
y = 4

so we have point (0,4) as your y-intercept.

Answer 4

im confused

Answer 5

which part?

Answer 6

like i need someone to walk me through everything can u do that with me??

Answer 7

could you be more specific?

Answer 8

like there diffrent part to question okay so for the first one

Type the first equation from the group you selected and identify the slope and the y-intercept of the equation.

how do we do that

Answer 9

ahh. so you were given –3x + 2y = 8, correct?

Answer 10

so, in order for the given equation agree with the equation of line which is y = mx+b, we equate the given equation –3x + 2y = 8 to y..

so,

-3x + 2y = 8

transfer -3x to the other side of the equation, that makes -3x to +3x

2y = 8 + 3x

we only need ONE 'y' so we have to dive the whole equation to 2

2y/2 = 8/2 + 3x/2

so we get

y = 4 + (3/2)x

so from that equation we now have the equation of line, y = mx+b where m = 3/2 and b = 4

arrange it to satisfy the equation of line y = mx+b

y = (3/2)x + 4

Answer 11

thats not the first equation though y = -3/2x + 4 is the first one

Answer 12

yes, there must be something wrong. try to recheck the problem.

Answer 13

ah sorry! I did not read the problem. my bad.. so the first equation is y = (-3/2)x + 4

so identify the slope and y-intercept.

from the equation of line, y = mx+b, where m is the slope and b is the y-intercept. you can prove the y-intercept by substituting 0 to x.