# Finding the Equation of a Line Critical Thinking Skill: Explicitly assess information and draw conclusions.

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Finding the Equation of a Line Critical Thinking Skill: Explicitly assess information and draw conclusions

Three Ways to Write a Linear Equation: 1. Standard Form 2). Slope-Intercept Form 3). Point-Slope Form

Review: Slope intercept form: y= mx + b m= slopeb = y-intercept 1.) Write the equation of the line that has a slope of -2 and a y-intercept of 5. 2.) Write the equation of the line shown in the graph below Writing Equations in Slope Intercept form (2,0) (0,-4)

Write the equation of the line that passes through the point (6,-3) and has a slope of -2. Step 1: Substitute the slope, m and the coordinates of the given point (x,y) into the slope-intercept form. y= mx + b Ste p 2: Solve for b Step 3: Substitute the slope and y-intercept back into the slope intercept form A: Given slope (m) and a point (x,y)

1: m = 8 ( 3, 4) 2: m = 5 ( 4, 2) Write the equation of the line that passes through the given point and has the given slope.

B: Given two points ex 1: ( 5, 3) ( 3, 4) Steps: 1). Find m (use the slope formula) 1). y = mx + b 2). plug in m, and either point to find b. 3). Re-write the equation with m and b plugged in.

ex 2: ( 8, 2) ( 2, 6) 3.) (2,-2) and (6,0)

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