Solve Propertiesstraightline G=3h+5 Tiger Algebra Solver

Logo Icon Camera Icon Enter an equation or problemClear Camera Icon Solve Camera input is not recognized!Keyboardarrow leftarrow rightenterdelsquare 2square 10axy/|abs|( )789*fractionsqrt root456-root%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Properties of a straight line Slope=0.6672.000=0.333 Slope=0.667/2.000=0.333 g−intercept=5/1=5.00000 g-i"ntercept=5/1=5.00000 h−intercept=5/-3=-1.66667 h-i"ntercept=5/-3=-1.66667

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-(3*h+5)=0

Step 1 :

Equation of a Straight Line

1.1 Solve g-3h-5 = 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 g-3h-5 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when g = 0 the value of h is 5/-3 so this line "cuts" the h axis at h=-1.66667

h-intercept = 5/-3 = -1.66667

Calculate the X-Intercept :

When h = 0 the value of g is 5/1 Our line therefore "cuts" the g axis at g= 5.00000

g-intercept = 5/1 = 5.00000

Calculate the Slope :

Slope is defined as the change in h divided by the change in g. We note that for g=0, the value of h is -1.667 and for g=2.000, the value of h is -1.000. So, for a change of 2.000 in g (The change in g is sometimes referred to as "RUN") we get a change of -1.000 - (-1.667) = 0.667 in h. (The change in h is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 0.667/2.000 = 0.333

Geometric figure: Straight Line

  1. Slope = 0.667/2.000 = 0.333
  2. g-intercept = 5/1 = 5.00000
  3. h-intercept = 5/-3 = -1.66667

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Terms and topics

  • Properties of a straight lines
  • Pulling out like terms

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