Answer:
y = 
x + 
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 )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m = 
= , hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 = 
+ c ⇒ c = 7 - =
y = x + ← equation in slope-intercept form
6 can go into 59, nine times. Therefore 9 times 6 equals 54
Answer:
Infinite Solutions
Step-by-step explanation:
x + 2y = 10
6y = 3x - 30
To solve for x and y we use substitution method
Let's solve the first equation for x
x + 2y = 10
Subtract 2y on both sides
x = 10 - 2y
Now plug in x in second equation
6y = -3x + -30
6y = -3 (10-2y) - 30
6y = -30 + 6y - 30
6y = 6y
Both sides are the same, so both x and y have infinite solutions.
<h2>
Answer:</h2><h2>The new fraction will chnage by 1.25 : 1.2 ratio, (i.e) = 1.04 %</h2>
Step-by-step explanation:
Let the fraction be represented as 
where x is the numerator and y is the denominator
Given that numerator will increase by 25 %, = 25% x
= 0.25 x
Given that denominator will increase by 20 %, = 20% y
= 0.2 y
The new fraction becomes = 
= 
= 
The new fraction will chnage by 1.25 : 1.2 ratio, (i.e) = 1.04 %
B) the one that has the sides 4 & 8 and 3 & 6.
The length on both of these rectangles are twice as long as the width
one rectangle goes from a width of 4 and its length is doubled to a length of 8
it is similar to the 3 & 6 because the width of 3 is doubled to get the length of 6
hope this helps
