What is the value of b if the graph of 2x+by=10 is to have a y-intercept of (0,5)? The value of b is

2 (?)

Step-by-step explanation:

substitute 0 and 5 into the eqution so it becomes 2x0 + bx5 = 10

2x0 = 0

to get b by itself 10/5 = 2

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!

0lz try yourself sorry for not answering