Solve Propertiesstraightline G(15)=2x+9 Tiger Algebra Solver
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Other Ways to Solve
Properties of a straight lineStep 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*(15)-(2*x+9)=0
Step 1 :
Equation of a Straight Line
1.1 Solve 15g-2x-9 = 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 15g-2x-9 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of g is 3/5 so this line "cuts" the g axis at g= 0.60000
g-intercept = 9/15 = 3/5 = 0.60000Calculate the X-Intercept :
When g = 0 the value of x is 9/-2 Our line therefore "cuts" the x axis at x=-4.50000
x-intercept = 9/-2 = -4.50000Calculate 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 0.600 and for x=2.000, the value of g is 0.867. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.867 - 0.600 = 0.267 in g. (The change in g is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.267/2.000 = 0.133Geometric figure: Straight Line
- Slope = 0.267/2.000 = 0.133
- x-intercept = 9/-2 = -4.50000
- g-intercept = 9/15 = 3/5 = 0.60000
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Terms and topics
- Properties of a straight lines
- Pulling out like terms
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- Beginning Algebra Tutorial 11: Simplifying Algebraic Expressions
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