Answer:
y = 2x - 1
Step-by-step explanation:
Slope intercept form: y=mx+b
point a: (1, 1)
point b: (2, 3)
1. Find the slope of the equation
Equation for slope(mx): (y2- y1)/ (x2-x1)
(3-1)/(2-1)= 2
slope: 2
2. Pick any of the two point to find the "b" and plug in the coordinates of the point to find the y-intercept of the equation.
point a: y=1, x=1
y=mx+b
1=2(1) + b
b= -1
3. Plug the answers you found above into the slope-intercept form
Overall equation:
y=2x - 1
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
first list a few points to find the slope
(1,1) (3, 2)
y2 - y1/x2 - x1
2 - 1/3 - 1
1/2
y = 1/2x + b
to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)
(-1, 0)
0 = 1/2(-1) + b
0 = -1/2 + b
b = 1/ 2
lets check:
point: (-3, -1)
y = 1/2x + 1/2
-1 = 1/2(-3) + 1/2 ?
-1 = -3/2 + 1/2 ?
-1 = -1
Answer:
21x/20 or can be written as x + x/20 .
Step-by-step explanation:
The number is x
step 1
x is increased by 50%
value of 50% of x = 50/100 *x = x/2
New value after this change = x + 50% increase = x + x/2 = 3x/2
Step 2 The value obtained is decreased by 30%
value of 30% newly found number is = 30% of value found in step 1
value of 30% newly found number is = 30/100 * 3x/2 = 9x/20
This value (9x/2) is subtracted from value found in step 1(3x/2) as given that value obtained is decreased by 30%
new value found after 30% decrease = 3x/2 - 9x/20 = (3x*10 -9x)/20
new value found after 30% decrease = (30x-9x)/20 = 21x/20
Thus, the result of x is increased by 50% and decreased by 30% is 21x/20 = x + x/20
5 : 3 = 45 : 27
3/5 = 27/?
3 × 9 = 27 5 <span>× 9 = 45
5 : 3 = 45 : 27
45 boys</span>