For this case we must simplify the following expression:

We must add similar terms taking into account that:
- Equal signs are added and the same sign is placed.
- Different signs are subtracted and the major sign is placed.

Thus, the simplified expression is:

Answer:

Slope intercept: y = mx + b
3y = 2x + 10
Y = 2/3x + 10/3
Perpendicular = opposite sign and reciprocal slope
Y = -3/2x + b
-10 = -3/2(10) + b
-10 = -15 + b, b = 5
Equation: y = -3/2x + 5
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m =
=
= - 
The y- intercept is where the line crosses the y- axis
The line crosses the y- axis at (0, 3 ) ⇒ b = 3
(b)
y = -
x + 3 ← equation of line
Answer:
4/5
Step-by-step explanation:
0.8 (to a fraction) 8/10
8/2=4
10/2=5
4/5
Answer:
y = 2x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)
m =
=
= 2
The line crosses the y- axis at (0, 9) ⇒ b = 9
y = 2x + 9 ← equation of line