Solve Propertiesstraightline H=210+33t Tiger Algebra Solver

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : h-(210+33*t)=0

Step 1 :

Equation of a Straight Line

1.1 Solve h-33t-210 = 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 h-33t-210 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when h = 0 the value of t is 70/-11 so this line "cuts" the t axis at t=-6.36364

Calculate the X-Intercept :

When t = 0 the value of h is 210/1 Our line therefore "cuts" the h axis at h=210.00000

Calculate the Slope :

Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -6.364 and for h=2.000, the value of t is -6.303. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -6.303 - (-6.364) = 0.061 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Geometric figure: Straight Line

1. Slope = 0.061/2.000 = 0.030
2. h-intercept = 210/1 = 210.00000
3. t-intercept = 210/-33 = 70/-11 = -6.36364