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:
choose b and d
distribute the number outside the parenthesis to each term on the inside of the parenthesis.
Answer:
ii) c = 4 iii) c = 8
Step-by-step explanation:
A = x axis intercept = 1/2 c
B = y axis intercept = c
ii) Area of a triangle = 1/2 x base x height
4 = 1/2 x (1/2)c x c
c² = 16
c = 4
iii) 2√5 will be the hypotenuse of a right-angled triangle with base 1/4 c and height 1/2 c
(2√5)² = (1/4 c)² + (1/2 c)²
20 = 1/16 c² + 1/4 c²
20 = 5/16 c²
c² = 64
c = 8
Answer:
See below
Step-by-step explanation:
5x+3y=13
3y=-5x+13
y=-5/3x+13/3
This graph has a slope of -5/3 and a y intercept of 13/3, as shown below. Hope this helps!
