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5 votes
Please help not sure how to do these

Please help not sure how to do these-example-1
User Mudassir
by
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2 Answers

6 votes

We're given two points and two half lines, aka rays.


Point slope form says the line through (a,b) with slope m is



y-b = m(x-a)


We can write that in slope-intercept form:



y = mx + (b-ma)


The left line goes two up for every one to the right, that's a slope of 2. It ends at (-1,-3). So that line is:



y = 2x + (-3 -2(-1)) = 2x-1


We turn that into the ray we like with the condition
x \le -1 so it ends at our point.


The right ray has slope 1 and endpoint (1,5). That's
x \ge 1 with the line



y= x + (5-1(1))= x+4


Answer:



y = 2x-1 \textrm{ if } x \le -1



y =x+4 \textrm{ if } x \ge 1


User Altantur
by
8.6k points
5 votes

For the bottom graph slope = 2 and when x = -1 f(x) = -3 so equation is

f(x )= 2x - 1.



{ 2x - 1 ( x <= -1)

f(x) = {

{ x ( x >= 1)

User Seaux
by
8.1k points

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