Answer:
y = -1/3x + 14/3
Step-by-step explanation:
We have the standard equation as;
y = mx + b
where m is the slope and b is the y-intercept
the given points are;
(-1,5) and (2,4)
So we plug x and y for each of the points
then we create two linear equations which we can solve simultaneously to get the values of m and b
From the points;
5 = -m + b•••••••(i)
4 = 2m + b
from i;
b = 5 + m
substitute this into equation ii
4 = 2m + 5 + m
4 = 3m + 5
4-5 = 3m
3m = -1
m = -1/3
Recall;
b = 5 + m
b = 5-1/3
b = 14/3
so we have the equation as;
y = -1/3x + 14/3
Multiply through by 3
3y = -x + 14
Answer:
Step-by-step explanation:
height of a triangle=4x-1
base=5x+2x-3
=7x-2
area of triangle=base*height/2
=(7x-2)(2x-3)/2
=7x*2x-7x*3-2*2x+2*3/2
=14x^2+21x-4x-6/2
=14^2+17x-6/2
area of rectangle=l*b
(7x-2)(4x+1)
7x(4x+1)-2(4x+1)
4x*7x+7x*1-2*4x-2*1
=28x^2+7x-8x-2
=28x^2-x-2
area of shaded part=area of rectangle-area of triangle
=![(28x^2-x-2 )-\frac{14x^2+17x-6}{2}](https://tex.z-dn.net/?f=%2828x%5E2-x-2%20%29-%5Cfrac%7B14x%5E2%2B17x-6%7D%7B2%7D)
Answer:
B,1/5
Step-by-step explanation: