Answer:
See attached
Step-by-step explanation:
The graph of a <u>proportional linear relationship</u> is a line that <u>passes through the origin</u> (0, 0).
From inspection of the given tables, the <u>linear equations</u> for each table of points is:
- Table 1: y = x + 1
- Table 2: y = x/2
- Table 3: y = x + 2
- Table 4: y = 2x + 1
The only equation for which y = 0 when x = 0 is y = x/2 → Table 2.
Given points from Table 2:
To <u>graph the line</u>, plot the given points and draw a line through them (see attached).
Answer:
20 % discount
Step-by-step explanation:
Lilian got 4 dollars off of the original price (20 - 16 = 4 )
4 / 20 * 100% = 20% off
558.7 , because 74 x 7.55 = 588.7 , it would be his total for the two weeks
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
