Answer:
y=mx+b
Step-by-step explanation:
standard slope intercept form. just plug in slope and intercept
Answer:

Step-by-step explanation:
Given points (0,-3) (2, 2), we can start by solving for the slope of the line by using the formula:

Let (x1, y1) = (0,-3)
(x2, y2) = (2, 2)
Plug in these values into the slope formula:

Therfore, the slope of the line is
.
Next, we must determine the y-intercept of the line. By definition, the y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
Using the slope (m) =
and one of the given points, (2, 2), plug in these values into the slope-intercept form, y = mx + b:
y = mx + b


2 = 5 + b
Subtract 5 on both sides of the equation to solve for b:
2 - 5 = 5 + b - 5
-3 = b
The y-intercept (b) = -3.
Therefore, the equation of the line that passes through (0,-3) and (2, 2) is:
.
Answer:
The perimeter of the triangle is about 17.1 units.
Step-by-step explanation:
The perimeter of a triangle is the sum of its three side lengths.
We can see that the two legs of the triangle both measure five units.
To find the third segment, we can use the Pythagorean Theorem since the <em>x-</em>axis is perpendicular to the <em>y-</em>axis. Recall that:

Where <em>a</em> and <em>b</em> are the two legs and <em>c</em> is the hypotenuse.
Our two legs are 5 and 5. Hence:

Solve for the hypotenuse:

Hence, our perimeter will be:

In conclusion, the perimeter of the triangle is about 17.1 units.
Answer:
1/3
Step-by-step explanation:
There are 12 boys and 6 girls, meaning there are 18 students. The girls are 1/3 out of those 18.
Answer:
(a) 3d=81
(b) 27
Step-by-step explanation:
every day, kojo write 3 pages
number of days he has written his story= d days
therefore number of pages he has written= 3d
from the final sentence,
3d= 81
<h3>(a) the equation to describe the situation: </h3><h3>3d= 81</h3>
(b) number of days kojo has been writing his story
3d= 81
dividing through by d
3d/3= 81/3
d = 27
<h3>therefore number of days = 27</h3>