9514 1404 393
Answer:
y = 4/5x +13/5
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(3 -(-2)) = 4/5
The y-intercept is given by the formula ...
b = y -mx . . . . for any point (x, y)
b = 1 -(4/5)(-2) = 1 +8/5 = 13/5 . . . . using the first point
So, the equation is ...
y = mx +b
y = 4/5x +13/5
_____
<em>Additional comment</em>
If you have a bunch of these to do, you may want to make a spreadsheet with the formulas built in. Then you can type in the two points and have it spit out the m and b for your equation. Even if you don't use it to <em>do</em> the work, you can use it to <em>check</em> the work.
Answer:

Step-by-step explanation:
Given

See attachment
Required
Determine the measure of 
and
are on a straight line.
So:
--- angle on a straight line
Substitute known values

Collect like terms


5×2+8-4+1=15
cause
5×2=10
10+8=18
18-4=14
14+1=15
Mulityply 3 x 3 u will get 9 and add it by 18 u will get 27
Answer:
B. 128 square centimeters
Step-by-step explanation:
So first make the top triangle part its own figure. By using information provided you can figure out the height of the triangle would be 3 by subtracting 11 from 14. Take 3 multiply it by the base and then 1/2 to get 18. Then find the area of the rectangle which would be 10 times 11 which is 110. Add the areas of the two parts, 110 and 18 to get 128.