Identify the x and y intercepts from the give equation: 5x – 2y = 10

x-intercept : (2, 0)

y-intercept : (0, -5)

Step-by-step explanation:

The x-intercept is where y = 0, and the y-intercept is where x = 0. To find the intercepts, substitute a zero in for the other variable, and solve.

So the x-intercept of 5x – 2y = 10 is

5x – 2y = 10 → 5x – 2(0) = 10 → 5x = 10 →

x = 2 → (2, 0).

So the y-intercept of 5x – 2y = 10 is

5x – 2y = 10 → 5(0) – 2y = 10 → -2y = 10 →

y = -5 → (0, -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!