Writing Equations in Slope-Intercept Form: Learn with Graphs!
Master the skill of writing linear equations in slope-intercept form through practical examples using given slopes and intercepts. Follow step-by-step instructions to identify slopes, y-intercepts, and write accurate equations for lines based on provided data. Improve your understanding of graph-based linear functions effectively.
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4.1 Writing Equations in Slope-Intercept Form Given the graph of a linear function, how can you write an equation of the line? 1. Students will be able to write equations in slope-intercept form.
1. Students will be able to write equations in slope-intercept form. Remember the slope-intercept form ? = ?? + ?. Write an equation of each line with the given slope and y-intercept. Slope = 3; y-intercept =1 ? = 3 ? =1 2 ? = ?? + ? Slope = 0; y-intercept = 2 ? = 0 ? = 2 ? = ?? + ? 2 ? = 0? 2 ? = 3? +1 2 ? = 2
You Try!! 1. Students will be able to write equations in slope-intercept form. Remember the slope-intercept form ? = ?? + ?. Write an equation of each line with the given slope and y-intercept. Slope =2 ? =2 3 ? = 0 ? = ?? + ? 3; y-intercept = 0 Slope = 3; y-intercept = 1 ? = 3? 1 ? =2 3? + 0 ? =2 3?
1. Students will be able to write equations in slope-intercept form. Write an equation of each line in slope-intercept form. Can you identify the y-intercept and the slope from the graph? y-intercept = 3 run = 4 =6 Slope =???? 4=3 ??? 2 rise = 6 ? =3 2? 3
1. Students will be able to write equations in slope-intercept form. Write an equation of each line in slope-intercept form. Can you identify the y-intercept and the slope from the graph? y-intercept = 2 Slope = 3 4 rise = 3 ? = 3 4? + 2 run = 4
You Try!! 1. Students will be able to write equations in slope-intercept form. Write an equation of each line in slope-intercept form. y-intercept = 2 Slope =4 run = 4 4= 1 rise = 4 ? = ? 2
You Try!! 1. Students will be able to write equations in slope-intercept form. Write an equation of each line in slope-intercept form. y-intercept = 1 Slope = 1 3 ? = 1 3? 1 rise = 1 run = 3
1. Students will be able to write equations in slope-intercept form. Write an equation of each line that passes through the given points. 3,5 ,(0, 1) Find the slope and y-intercept. ( 3,5) (0, 1) +(0,+1) 3 6 ? ? y-intercept is where ? = 0 y-intercept = 1 ? = 2? 1 6 ? = 3= 2
1. Students will be able to write equations in slope-intercept form. Write an equation of each line that passes through the given points. 0, 5 ,(8, 5) Find the slope and y-intercept. y-intercept is where ? = 0 0, 5 (8, 5) +( 8,+5) 8 0 ? ? y-intercept = 5 ? = 0? 5 0 ? = ? = 5 8= 0
You Try!! 1. Students will be able to write equations in slope-intercept form. Write an equation of each line that passes through the given points. 0,2 ,(4,10) Find the slope and y-intercept. y-intercept is where ? = 0 0, 2 (4,10) +( 4, 10) 4 8 ? ? 0, 2 y-intercept = 2 ? = 2? + 2 ? = 8 4= 2
You Try!! 1. Students will be able to write equations in slope-intercept form. Write a linear function g with the values ? 0 = 9 and ? 8 = 7. So what are the points? 0,9 ,(8,7) 0,9 (8,7) 8 2 ? ? y-intercept = 9 ?(?) = 1 4? + 9 8= 1 2 ? = 4
So lets review! 1. Students will be able to write equations in slope-intercept form. You need to be able to write the equation given the slope and y-intercept. Plug the information into the equation You need to be able to write the equation given the graph. Identify the y-intercept Find the slope Plug the information into the equation You need to be able to write the equation given two points. Find the slope Identify the y-intercept Plug the information into the equation
