The equation of a line is written in form y = Mx+ b
M is the slope, also known as the gradient.
You are given the gradient and one point , which is an x and y value. Using that solve for b:
1. Gradient = 2, x = 4, y= 3
3 = 2(4) + b
3 = 8 + b
Subtract 8 from both sides:
B = -5
The equation becomes y = 2x-5
2. Gradient = -3, x= -1, y = 7
7 = -3(-1) + b
7 = 3 + b
Subtract 3 from both sides:
B = 4
Equation becomes: y = -3 +4
Answer:
x = 7
Length = 4 inches , Width = 15 inches
Step-by-step explanation:
<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>
Area of rectangle = Length × Width
A = L × W
L = x - 3
W = x + 8
Therefore:
A = L × W
60 = ( x - 3 ) ( x + 8 )
( x - 3 ) ( x + 8 ) - 60 = 0
x^2 + 8x - 3x - 24 - 60 = 0
x^2 + 5x - 84 = 0
x^2 + 12x - 7x - 84 = 0
x ( x + 12 ) - 7 ( x + 12 ) = 0
( x + 12 ) ( x - 7 ) = 0
THEREFORE:
x = - 12 , x = 7
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<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>
L = x - 3
L = ( - 12 ) - 3
L = - 15
OR
L = ( 7 ) - 3
L = 4
THEREFORE:
Length can not be a negative number. Hence, L can not equal to - 15.
L = 4 inches
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W = x + 8
W = ( 7 ) + 8
THEREFORE:
W = 15 inches
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 )
here m = 
and b = 13, hence
y = x + 13 ← in slope- intercept form
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and AB, C are integers )
multiply all terms in the slope-intercept form by 3
3y = x + 39 ( subtract 3y from both sides )
0 = x - 3y + 39 ( subtract 39 from both sides )
x - 3y = - 39 ← in standard form
The original price of the movie would be $26. Hope this helps!
<span>draw out a triangle and then create three boxes inside by drawing a T. In each of the boxes you've created you need to put one of the letters from the equation. The equation you currently have is F= m*a. To rearrange this equation put the m and the a into the bottom boxes and the F above. Because there is a vertical line between the m and the a, this means you times them. If there is a horizonal line between two letters you divide them. So to find a, you must divide F by m. </span>
