Step-by-step explanation:
The equation of a line with slope m and y-intercept b is y = m x + b.
This line goes through the point ( 0 ,0 ), so the y-intercept is zero.
We are given the slope as − 2 / 3.
The equation of the line is y= – 2 / 3 x + 0 = – 2 / 3 x
y = – 2 / 3 x
Answer:
Solution given:
Volume of rectangular prism=length*breadth*height
for
1st one 4in,3in,6in
Volume=4*3*6=<u>72cu.in</u>
For second one 6in,3in,2in
Volume=6*3*2=<u>36cu.in</u>
For third one 4in ,5in,4in
Volume=4*5*4=<u>8</u><u>0</u><u>c</u><u>u</u><u>.</u><u>in</u>
For forth one 2in,9in,3in
Volume=2*9*3=<u>5</u><u>4</u><u>cu</u><u>.</u><u>in</u>
Answer:
1.495
Step-by-step explanation:
Answer:
A
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 )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 2, 3)
m = 
= 
= - 
, thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 3) , then
3 = 
+ c ⇒ c = 3 - = 
y = - x + ← in slope- intercept form
Multiply through by 3 to clear the fractions
3y = - 2x + 5 ( add 2x to both sides )
2x + 3y = 5 ( subtract 5 from both sides )
2x + 3y - 5 = 0 ← in general form
