All categories

3 years ago

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x – 3. What is the point-

Mathematics

1 answer:

kirill [66]3 years ago

7 0

Answer:

y - -13 = 5(x - -2)

Step-by-step explanation:

slope = 5

y - -13 = 5(x - -2) point slope form

y + 13 = 5x + 10

5x - y = 3 standard form

y = 5x -3 slope intercept form

You might be interested in

Which statements describe the graph of y = Negative RootIndex 3 StartRoot x minus 1 EndRoot + 2? Select three options.

SOVA2 [1]

Answer:

The graph has a domain of all real numbers.

The graph has a y-intercept at $(0,1)$ .

The graph has an x-intercept at $(-7,0)$ .

Step-by-step explanation:

Given: The graph is $y=\sqrt[3]{x-1}+2$

The domain of a function is a set of input values for which the function is real and defined.

Thus, the graph has a domain of $(-\infty, \infty)$ .

To find the y-intercept: To find the y-intercept, substitute $x=0$ in $y=\sqrt[3]{x-1}+2$ .

$\begin{aligned}y &=\sqrt[3]{x-1}+2 \\&=\sqrt[3]{0-1}+2 \\&=-1+2 \\&=1\end{aligned}$

Thus, the y-intercept is $(0,1)$

To find the x-intercept: To find the x-intercept, substitute $y=0$ in $y=\sqrt[3]{x-1}+2$ .

$\begin{aligned}y &=\sqrt[3]{x-1}+2 \\0 &=\sqrt[3]{x-1}+2 \\-2 &=\sqrt[3]{x-1} \\(-2)^{3} &=(\sqrt[3]{x-1})^{3} \\-8 &=x-1 \\-7 &=x\end{aligned}$

Thus, the x-intercept is $(-7,0)$

8 0

3 years ago

Read 2 more answers

A number is (1\7) of another number. The difference of the numbers is 18. (Assume that you are subtracting the smaller number fr

lbvjy [14]

Start by writing an equation

x - 1/7x = 18

since there is no number in front of the first x it is an implied 1. In order to subtract we need an equivalent fraction with a common denominator so we change 1 to 7/7.

Now we can subtract
7/7x - 1/7x = 18
6/7x = 18

divide each side by 6/7 (multiply 18 × the reciprocal)

x = 18/1 × 7/6

x = 126/6

x = 21

3 0

3 years ago

1. If R = 32 - 11 (OC+2y). then find R when: x=2 and y=4

Mice21 [21]

The correct equation says to find R = 32 - 11 (X+2y). This gives us the value of -78.

<h3>How to solve for the equation below</h3>

We have this

R = 32 - 11 (X+2y)

we have the following values for x and y as 2 and 4 respectively.

What we have to do would be to find the value of R after we have put in these values in the equation.

To do this, we would then have:

R = 32 - 11(2 + 2*4)

R = 32 -11(2+8)

R = 32 - 11 * 10

R = 32 - 110

This would give us the value that says

R = -78

Hence the value of R is given as -78