Writing Linear Equations in Slope Intercept Form Goals: Write linear equations given 2 points. Decide which form of a line to use given initial information.

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Writing Linear Equations in Slope Intercept Form Goals: Write linear equations given 2 points. Decide which form of a line to use given initial information. 5.3

EXAMPLE 1 Use a Graph Write the equation of the line in the graph in slope-intercept form.

Checkpoint Use a Graph

EXAMPLE 2 Write an Equation Given Two Points Write in slope-intercept form the equation of the line that passes through the point (3, -2) and (6,0).

Checkpoint Write an Equation of a Line Given Two Points Two Points Write in slope-intercept form the equation of the line that passes through the points (2, 3) and (4, 7).

Checkpoint Write an Equation of a Line Given Two Points Two Points Write in slope-intercept form the equation of the line that passes through the points (-4, 5) and (2, 2).

Checkpoint Write an Equation of a Line Given Two Points Two Points Write in slope-intercept form the equation of the line that passes through the points (1, -1) and (4, -4).

EXAMPLE 3 Decide Which Form to Use Write the equation of the line in slope-intercept form.

EXAMPLE 3 Decide Which Form to Use Write the equation of the line in slope-intercept form.

Checkpoint

Checkpoint

Checkpoint Decide Which Form To Use Write the equation of the line in slope-intercept form.

SUMMARY Writing Linear Equations Given Two Points Find the slope Write the equation of the line. Use the slope-intercept form if you know the y-intercept y = mx + b Use the point-slope form if you do NOT know the y-intercept. y – y 1 = m(x – x 1 ) 2 1

SUMMARY Writing Linear Equations Given Two Points Find the slope Plug the slope into the line equation y = mx + b and solve for b. Now that you have the slope and y – intercept, write the equation of the line. UUse the slope-intercept form y = mx + b