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Module 2

Graphing and Writing Linear Functions

QuestionAnswer
Write an equation in Slope-Intercept Form which has a slope of 5 and y-intercept (0,8) Use the formula y=mx+b, m is the slope and (0,b) is the y-intercept Answer: y=5x+8
Write an equation using Function Notation which has a slope of -3 and y-intercept (0,-4) First write the equation in Slope-intercept form y=mx+b where the slope is m and (0,b) is the y-intercept. Then, substitute the y for f(x) Answer: f(x)=-3x-4
Using Function Notation write an equation using the points (-3,-4) (-6,-3) First, find the slope of the line using the two given points. Then using the slope and either one of the points, use point-slope form to solve for y. Lastly, replace y for f(x) Answer: f(x)=-1/3x-5
Using Function Notation write an equation of the horizontal line containing the point (5,2) A horizontal line is written y=c with a slope of 0 and y-intercept (0,c) Answer: f(x)=2
Using Standard Form write an equation of the line containing the point (6,5) and parallel to the line 5x-y=7 Parallel lines have the same slope. Put the given equation into slope-intercept form. Using point-slope form, solve for the parallel line. Lastly, put the equation in standard form Ax+By=C Answer: 5x-y=25
Using Function Notation write an equation of the line containing the point (5,-6) and perpendicular to the line 5y=x-10 Perpendicular lines have a slope which is the negative reciprocal. Put the given equation into slope-intercept form. Using point-slope form, solve for the perpendicular line. Lastly, put the equation in function notation f(x)=mx+b Answer: f(x)=-5x+19
Write an equation of the line in Standard Form which has a slope of 4 and passes through the point (-7,4) Using point-slope form to solve for the equation, put in standard form Ax+By=C Answer: y-4x=32
Created by: Ssims89
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