Solve Propertiesstraightline 3x-4y+12=0 Tiger Algebra Solver

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Properties of a straight line Slope=1.5002.000=0.750 Slope=1.500/2.000=0.750 x−intercept=-12/3=-4 x-i"ntercept=-12/3=-4 y−intercept=12/4=3 y-i"ntercept=12/4=3

Other Ways to Solve

Properties of a straight line

Step by Step Solution

Step 1 :

Equation of a Straight Line

1.1 Solve 3x-4y+12 = 0 Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK). "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.In this formula :y tells us how far up the line goesx tells us how far alongm is the Slope or Gradient i.e. how steep the line isb is the Y-intercept i.e. where the line crosses the Y axisThe X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y+12 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

y-intercept = 12/4 = 3

Calculate the X-Intercept :

When y = 0 the value of x is -4/1 Our line therefore "cuts" the x axis at x=-4.00000

x-intercept = -12/3 = -4

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 4.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.500 - 3.000 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 1.500/2.000 = 0.750

Geometric figure: Straight Line

1. Slope = 1.500/2.000 = 0.750
2. x-intercept = -12/3 = -4
3. y-intercept = 12/4 = 3

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Why learn this

Terms and topics

• Properties of a straight lines
• Pulling out like terms

Related links

• Beginning Algebra Tutorial 11: Simplifying Algebraic Expressions

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