Section 2.4 Notes: Writing Linear Equations

Example 1: Write an equation in slope-intercept form for the line.        

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Example 2: Write an equation in slope-intercept form for the line.

  

If you know the slope of a line and the coordinates of a point on the line, you can use the point-slope form to find an equation of the line.

Example 3: Write an equation in slope-intercept form for the line that

has a slope of and passes through (5, –2).3

5

Example 4: Write an equation in slope-intercept form for the line that

has a slope of and passes through (–3, –1).2

3

Example 5: What is an equation, in slope-intercept form, of the line through (2, –3) and (–3, 7)?       

Example 6: Which is an equation, in slope-intercept form, of the line that passes through (2, 5) and (–1, 3)? 

Example 7: Write an equation in slope-intercept form for the line that passes through (3, –2) and is perpendicular to the line whose equation is y = –5x + 1.

Example 8: Write an equation in slope-intercept form for the line that passes through (3, 5) and is perpendicular to the line whose equation is y = 3x – 2.