Objective 3 - Convert between a linear equation and its graph.

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Constructing the linear equation based on its graph.

Link to section in online textbook.

First, watch this video to learn how to convert from a graph to its linear function.

Write the equation of the line in the graph below in Slope-Intercept form and in Standard form.

Slope-Intercept form: $y = \answer {-2/3}x + \answer {2}$

Standard form: $\answer {2} x + \answer {3} y = \answer {6}$

What do we know about the coefficients in Standard Form? Is there anything special about the coefficient for $x$ ?

Write the equation of the line in the graph below in Slope-Intercept form and in Standard form.

Slope-Intercept form: $y = \answer {-5/4}x + \answer {-3}$

Standard form: $\answer {5} x + \answer {4} y = \answer {-12}$

What do we know about the coefficients in Standard Form? Is there anything special about the coefficient for $x$ ?

Write the equation of the line in the graph below in Slope-Intercept form and in Standard form.

Slope-Intercept form: $y = \answer {5/2}x + \answer {5}$

Standard form: $\answer {5} x + \answer {-2} y = \answer {-10}$

What do we know about the coefficients in Standard Form? Is there anything special about the coefficient for $x$ ?