Answer:
Step-by-step explanation:
(a) the co-ordinates of the point where the line crosses the y-axis,
y intercept occurs when x = 0
y = 5 - 2(0)
y = 5
(0, 5)
(b) the gradient of the line,
the general line formula is y = mx + b, where m is the slope and b is the y intercept.
y = 5 - 2x
y = -2x + 5
m = -2
(c) the equation of a line parallel to L.
Parallel lines have the same slope, but different y intercepts.
The simplest parallel line formula is
y = -2x + 0
y = -2x
Perimeter of rectangle=66
length of rectangle=L
width of rectangle=w
P of a rect.= 2(length)+ 2(width)
66= 2L+2w
if the length is 7in more than the width, then
L=7+w
Now we will substitute 7+w in for L. Here is our new equation:
66=2(7+w) + 2w
Solve for w
66=14+2w+2w
66=14+4w
52=4w
w=13
L=7+13, so L=20
I hooe this is explained well enough
Answer:
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
[Standard Form] -5x - 4y = -12
<u>Step 2: Rewrite</u>
- Add 5x to both sides: -4y = 5x - 12
- Divide -4 on both sides: y = -5/4x + 3
<u>Step 3: Identify</u>
<em>Break apart the function.</em>
Slope <em>m</em> = -5/4
y-intercept <em>b</em> = 3
Y=1x+2 (you don’t have to write the 1 in front of the x so you can write it as y=x+1)