Determine the intercepts of the line. y = 5 x − 1 3 y=5x−13

1 answer:

6 0

Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.

You might be interested in

What is the simplest form of the product cube root4x^2*cube root8x^7

Illusion [34]

Answer:

f(x) = $2^{\frac{5}{3} }x^{3}$ is the simplest expression

Step-by-step explanation:

We are given an expression and we are supposed to find the simplest form of the given expression.

The given expression is

f(x) = $\sqrt[3]{4x^{2} } \times \sqrt[3]{8x^{7} }$

Since the cube root is common we can multiply the quotient inside the radical sign.

f(x) = $\sqrt[3]{32x^{(2+7)} }$

= $\sqrt[3]{32x^{9} }$

= $2^{\frac{5}{3} }\times x^{\frac{9}{3} }$

= $2^{\frac{5}{3} }x^{3}$

f(x) = $2^{\frac{5}{3} }x^{3}$ is the simplest expression

6 0

3 years ago

14. A pitcher contains quart of lemonade.

Sergio039 [100]

Answer:

1/9 quart in each glass

Step-by-step explanation:

2/3) / 6

(2/3) * (1/6) = 2/18 = 1/9 quart in each glass

3 0

3 years ago

a marble was randomly selected from a bad containing 3 red marbles , 3 blue marbes and 3 green marbles . what is the probability

galina1969 [7]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

If there are 9 marbles in total and the desired outcome is to pick a green marble then the probability is $\frac{desired outcome}{totaloutcomes}$ = $\frac{3}{9}$ which simplifies down to a third.