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There are 3 steps to find the Equation of the Straight Line: 1. Find the slope of the line; 2. Put the slope and one point into the "Point-Slope Formula" 3. Simplify; Step 1: Find the Slope (or Gradient) from 2 Points. What is the slope (or gradient) of this line? We know two points: point "A" is (6,4) (at x is 6, y is 4) point "B" is (2,3) (at ...
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- Constructing a Table of Values. This is the most straightforward method of graphing a line. What we need to do is to select some values of x and then evaluate those values in the given equation to get the corresponding values of y. Finally, plot those points in the XY-axis, and connect them with a straight edge.
- Using the Slope and y-intercept (y = mx+b) The first step is to make sure that the equation of the line is in the Slope-Intercept Form, that is [latex]y=mx+b[/latex].
- Connecting the x and y-Intercepts. Remember, we only need two points to graph a line. With that idea, we take advantage of the two “convenient” points which can easily be solved algebraically from the equation of the line; namely, the x-intercept [latex](x,0)[/latex] and y-intercept [latex](0,y)[/latex].
The two-point form of a line is used for finding the equation of a line given two points \((x_1,y_1)\) and \((x_2,y_2)\) on it. The two point-form of a line is:\(y-y_1= \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\) OR \(y-y_2= \dfrac{y_2-y_1}{x_2-x_1}(x-x_2)\).
Steps of construction of line graph: On a graph, draw two lines perpendicular to each other intersecting at O. The horizontal line is x-axis and vertical line is y-axis. Mark points at equal intervals along x-axis and write the names of the data items whose values are to be marked.
Revise how to plot a linear equation graph. Learn how to read x and y coordinates from a graph in this BBC Bitesize maths KS3 guide.
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