The numbers who are constants (-4 and 3) will always be parallell to the x-axle, meaning they will never intercept the x-axis. These two numbers intercepts the y-axis at -4 and 3, respectively.
As for the case of 5x:
Y = 5x
set y = 0 to receive the value of interception for the x-axis:
5x = 0
↨
x = 0/5
x = 0
It intercepts the x-axis at x = 0.
As for the Y-intercept, set x = 0 instead:
5*0 = y
y = 0
It intercepts the y-axis at y = 0.
4 + 5x = 1 5x = 1 - 4 5x = -3 x = -3/5 x = -0.6
8x - 4 = -7 + 5x8x - 5x - 4 = -7 + 5x - 5x subtract 5x from both sides3x - 4 + 4 = -7 + 4 add 4 to both sides3x = -3x = -3/3 = -1
First find the slope which works out as 3/5 y -4 = 3/5(x-2) y -4 = 3/5x -6/5 y = 3/5x -6/5 +4 y = 3/5x =14/5 Which can be expressed in the form of: 3x -5y +14 = 0
= (5x - 30) + (3 - 7) = 5x - 30 - 4 = 5x - 34
5x + 4 - 8x = 13 5x + 4 + -8x = 13 (Put the x variables together) 5x + -8x = -3x -3x + 4 = 13 | -4 | -4 (Subtract 4 from both sides) -3x = 9 (Divide both sides by -3 to get the 'x' by itself) ---- --- -3 -3 x = -3
4 + 5x = 1 5x = 1 - 4 5x = -3 x = -3/5 x = -0.6
4(5x + 3) - 9 = 20x + 3
5x+3 = -17 5x = -17-3 5x = -20 x = -4
8x - 4 = -7 + 5x8x - 5x - 4 = -7 + 5x - 5x subtract 5x from both sides3x - 4 + 4 = -7 + 4 add 4 to both sides3x = -3x = -3/3 = -1
-3/5x = 1/4 Multiply all terms by 5x: -3 = 5x/4 Multiply all terms by 4: -12 = 5x Divide both sides to find the value of x: x = -2 and -2/5 or x = -12/5
5x + 3 - 4 + 4x = 9x -1
x=1 2/3 How?: 2x-4+3 = 5x-6 2x-1 = 5x-6 2x-1+1 = 5x-6+1 2x = 5x-5 2x-5x = 5x-5x-5 -3x = -5 -3x/-3 = -5/-3 x = 5/3 x = 1 2/3
First find the slope which works out as 3/5 y -4 = 3/5(x-2) y -4 = 3/5x -6/5 y = 3/5x -6/5 +4 y = 3/5x =14/5 Which can be expressed in the form of: 3x -5y +14 = 0
5x+4y = -3 4y = -5x-3 y = -5/4 x - 3 Slope is -5/4.
= (5x - 30) + (3 - 7) = 5x - 30 - 4 = 5x - 34
5x-4=8+2x 5x-2x=4+8 3x=12 x=12/3 x=4
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