What is the y-intercept of the line defined by the equation y+3x-4=0?
-4
4/3
-4/3
4

y+3x-4=0?

Step-by-step explanation:

To find the y intercept, let x=0 and solve for y

y+3x-4=0

y + 3(0) -4 =0

y -4 =0

Add 4 to each side

y -4+4=0+4

y =4

y = 4, which we can also write as (0, 4)

Step-by-step explanation:

Just let x = 0 in y+3x-4=0 and find y:

y+ 3(0) - 4=0

Then y = 4, which we can also write as (0, 4).

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!