Write the slope-intercept form of the line that passes through the given point with the slope m. Through (3, 5) , m = -3/8

Elenna [48]

Answer:

C

Step-by-step explanation:

The technical probability of rolling any number on a standard die is 1/6 because there's six numbers. Based on that, since he rolled a "4" on 5 tosses, it seems likely that it's 30 times, because 1/6 of 30 is 5. I haven't done probability in awhile but if I remember correctly that should be right

5 0

3 years ago

What is the slope form equation?

CaHeK987 [17]

Answer:

y= mx +c

Step-by-step explanation:

The point- slope form of an equation is

y= mx +c, where m is the gradient and c is the y-intercept.

You can find the value of m by using the gradient formula.

$gradient = \frac{y1 - y2}{x1 - x2}$

Then substitute the value of m found into the equation. Next substitute a pair of coordinates the line passes through to find the value of c. Substitute the value of c and you will obtain the point-slope form equation of the line.

<u>Here's an example.</u>

Point-slope form of an equation passing through (1, 2) and (5, 6).

① Finding gradient, m.

$m = \frac{6 - 2}{5 - 1} \\ m = \frac{4}{4} \\ m = 1$

② Substitute value of m into equation.

y= 1x +c

y= x +c

③ Substitute a pair of coordinates.

when x=1, y=2,

2= 1 +c

c= 2 -1

c= 1

Thus the equation of the line is y= x +1.

5 0

3 years ago

Read 2 more answers

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

kondor19780726 [428]

Answer:

The equation of the regression line is:

$y~=~234.56158 ~-~ 2.95835 \cdot x$

Step-by-step explanation:

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.

We have the following data:

$\begin{array}{c|ccccccccc}X&50&55&50&79&44&37&70&45&49\\Y&152&48&22&35&43&171&13&185&25\end{array}$

To find the line of best fit for the points:

Step 1: Find $X\cdot X$ and $X\cdot Y$ as it was done in the table

Step 2: Find the sum of every column:

$\sum{X} = 479 ~,~ \sum{Y} = 694 ~,~ \sum{X \cdot Y} = 32784 ~,~ \sum{X^2} = 26897$

Step 3: Use the following equations to find a and b:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 694 \cdot 26897 - 479 \cdot 32784}{ 9 \cdot 26897 - 479^2} \approx 234.56158 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 9 \cdot 32784 - 479 \cdot 694 }{ 9 \cdot 26897 - \left( 479 \right)^2} \approx -2.95835\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~a ~+~ b \cdot x \\y~=~234.56158 ~-~ 2.95835\cdot x\end{aligned}$

The graph of the regression line is:

5 0

4 years ago

Pleaaaaaaaaaase help please please please

gizmo_the_mogwai [7]

Answer:

y = x - 2

Step-by-step explanation:

Using any two points to find the slope. I will using (3, 1) and (7, 5)

Slope = (change in the y values)/(change in the x values)

Slope = (5 - 1)/(7 - 3) = 4/4 = 1

Next find the y -intercept "b", using the table to find the value of y when x is zero. That point is (0, -2) . So the y-intercept ("b") is -2

or use one of the point (7, 5) and substitute into the slope- intercept formula and solve for "b'

y = mx + b

5 = 1(7) + b

5 = 7 + b

-2 = b

Write the equation in the slope-intercept form y = x - 2

5 0

3 years ago

Write the equation in slope-intercept form.<br> 5x + 3y = 11

pshichka [43]

Answer:

y = -5/3 x + 11/3

Step-by-step explanation:

5x +3y = 11

3y = 11 - 5x

y = -5/3 x + 11/3

8 0

3 years ago