Write the equation of the line fully simplified slope intercept form

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

7 0

Y=-5x-5
Find the gradient (m) using 2 random coordinates and the equation m=y2-y1/x2-x1 which is -5 in this case.
Find the y-intercept (c) by seeing where the line intercepts the y-axis which is -5 in this case.
Sub these numbers into ‘slope-intercept form’ which is y=mx+c.

yuradex [85]3 years ago

5 0

Answer:

y = - 5x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = $\frac{-5-0}{0+1}$ = - 5

The line crosses the t- axis at (0, - 5) ⇒ c = - 5

y = - 5x - 5 ← equation of line

You might be interested in

A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left wi

tino4ka555 [31]

Answer:

$\frac{7}{40}$

Step-by-step explanation:

$1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})$

$1-\frac{33}{40}$

$\frac{7}{40}=0.175$

6 0

3 years ago

Read 2 more answers

The element silicon has a molar mass of 28.09 g/mol. Calculate the mass of 0.15 mol of Silicon.

Sav [38]

The answer is 28.09 g. I hope this helped.

3 0

2 years ago

Lucy rolls 2 fair dice and adds the results from each.

stellarik [79]

Answer:

The probability is 7/36

Step-by-step explanation:

In this question, we are tasked with calculating the probability that when we roll two fair dice, the sum of two numbers on both dies equal to 5.

Before we go on answering the question, we need to know the number of elements in our sample space. What this means is that we need to know the number of results we can have. The total number of results we can have is 6 * 6 = 36

Now, the next thing to know is how many of our results would yield a multiple of 5 each. Now let’s look at the attachment for the tabular representation we have.

Now, looking at our table, we can see that we have 7 circled results where we have a possibility of a multiple of 5.

The probability is thus the number of these additions divided by the total number of outputs= 7/36