Solve Propertiesstraightline G(10)=-3x+1 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=−0.6002.000=−0.300 Slope=-0.600/2.000=-0.300 x−intercept=1/3=0.33333 x-i"ntercept=1/3=0.33333 g−intercept=1/10=0.10000 g-i"ntercept=1/10=0.10000

Other Ways to Solve

Properties of a straight line

Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : g*(10)-(-3*x+1)=0

Step 1 :

Equation of a Straight Line

1.1 Solve 10g+3x-1 = 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 10g+3x-1 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of g is 1/10 so this line "cuts" the g axis at g= 0.10000

g-intercept = 1/10 = 0.10000

Calculate the X-Intercept :

When g = 0 the value of x is 1/3 Our line therefore "cuts" the x axis at x= 0.33333

x-intercept = 1/3 = 0.33333

Calculate the Slope :

Slope is defined as the change in g divided by the change in x. We note that for x=0, the value of g is 0.100 and for x=2.000, the value of g is -0.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.500 - 0.100 = -0.600 in g. (The change in g is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -0.600/2.000 = -0.300

Geometric figure: Straight Line

1. Slope = -0.600/2.000 = -0.300
2. x-intercept = 1/3 = 0.33333
3. g-intercept = 1/10 = 0.10000

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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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