Slope Intercept Form Worksheet

Did you know that when the plane takes off or wants to land (landing), the plane requires a certain slope in order to fly or arrive at the runway perfectly? Well, one of the mathematical calculations that can be applied in determining the inclination of the fuselage when taking off or landing will be discussed in this article. So, stay tuned, huh!

Squad, look at the picture above. If we think of the plane’s path as a straight line, then when the plane moves towards the air, the plane will go straight up with a certain slope. Likewise when the plane returned to land. Now, the slope of this straight line in mathematics is called a gradient. “Gradient is a value that shows the slope/inclination of a straight line”.

Generally, gradients are denoted by the letter “m”. The gradient will determine how sloping a line is in Cartesian coordinates. The gradient of a line can be sloping to the right, sloping to the left, steep, or sloping, depending on the value of the X component and the Y component. You can see an example of the kinds of slopes (gradients) on a straight line in the image below: “A line with a positive gradient will be sloping to the right, while a line with a negative gradient will slant to the left”.


Graph From Slope Intercept Form Worksheet
Darlene Young
February 23, 2021
Worksheets Graphing Intercept Form Worksheet
Darlene Young
February 23, 2021

Now, let’s try to figure out which lines have a positive gradient and which lines have a negative gradient. In picture number 1, it turns out that the line is sloping to the right, so you can see that the gradient will be positive. Meanwhile, in image number 4, the line is slanted to the left, so the gradient will be negative.

There are two ways to find the slope value of a line that you can find out, namely:

  1. If you know the form of the equation of the line

In general, there are two kinds of straight-line equations, so the way to determine the gradient is also different, depending on the shape of the line equation.

Graph of Straight Line Equations

The straight-line equation can be drawn in cartesian coordinates to get a graph in the form of a straight line. Here are the steps for drawing the line graph:

  • Determine the two points that the line traverses in the equation.
  • Both points are plotted or placed at cartesius coordinates.
  • Connect the two plotted points to become a line.
  • The following is a straight line equation in Cartesian coordinates:
  • Solution for Straight-line Equations
  • Two straight line equations that can be presented together are referred to as a two-variable system of linear equations and have the form:
  • With x and y referred to as variables or variables. The letters a, b, d, and e are the coefficients of each variable, and c and f are constants.

There are two ways to solve the two-variable equation system, namely the substitution method and the elimination method. Here’s the explanation:

Substitution Method

In the substitution method, one of the variables is separated from an equation. The equation in form is changed so that it has an explicit form. Then the new equation is substituted for the second equation, for example, the equation for the result of the substitution has 1 variable so that it can be solved.

Elimination Method

In the elimination method, one of the variables is eliminated or eliminated by subtracting the two existing equations. In order for the variable to be eliminated when the two equations are subtracted, the coefficient of the two variables is equalized first. Equation of this coefficient by multiplying or dividing an equation by a number. This method is very easy and easy for students to practice.


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