Solve Propertiesstraightline 6x-7y=4 Tiger Algebra Solver

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 6*x-7*y-(4)=0

Step 1 :

Equation of a Straight Line

1.1 Solve 6x-7y-4 = 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 6x-7y-4 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 4/-7 so this line "cuts" the y axis at y=-0.57143

Calculate the X-Intercept :

When y = 0 the value of x is 2/3 Our line therefore "cuts" the x axis at x= 0.66667

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 -0.571 and for x=2.000, the value of y is 1.143. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.143 - (-0.571) = 1.714 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Geometric figure: Straight Line

1. Slope = 1.714/2.000 = 0.857
2. x-intercept = 4/6 = 2/3 = 0.66667
3. y-intercept = 4/-7 = -0.57143