The equation of the line of the graph (1) is y = 2x -3
Graph (2) is y = 2x + 3
Graph (3) is y = -2x + 3
Graph (4) is y = -2x - 3
Intercept form of the straight line:
The intercept form of the line is [tex]\frac{x}{a}+\frac{y}{b}=1[/tex]
here a is called intercept on x-axis and b is called intercept on y-axis
This will help to draw the line
How to find graph of the intercept form?
If we have given line y = 2x -3
Write down this into intercept form then find the graph
The intercept form of the line is
[tex]\frac{x}{3/2}-\frac{y}{3}=1[/tex]
here x-intercept is a = 3/2
and y-intercept is b = 3
Therefore the graph is (1) matched with it.
Similarly the equation y = 2x + 3 has intercept form
[tex]\frac{x}{-3/2}+\frac{y}{3}=1[/tex]
And the graph (2) is matched with this
Equation (3) has [tex]\frac{x}{3/2}+\frac{y}{3}=1[/tex]
Equation (4) has [tex]\frac{x}{-3/2}+\frac{y}{-3}=1[/tex]
Learn more about Intercept form of the line here-
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