anonymous
  • anonymous
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Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
reemii
  • reemii
\(y=ax+b\). the value of \(b\) tells you where the line crosses the y-axis. (when x=0, y = b) therefore the answer to the first question is NOT 1), neither 4). see that?
anonymous
  • anonymous
Yes

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reemii
  • reemii
what is the slope of \(y=\frac13x-4\) ?
anonymous
  • anonymous
c?
reemii
  • reemii
c is the correct answer
anonymous
  • anonymous
oh ok.
anonymous
  • anonymous
can you please help me on the next one?
reemii
  • reemii
11. ? it's just the same technique.
reemii
  • reemii
use \(b\), then use \(a\).
anonymous
  • anonymous
can you show me how to use b and a
reemii
  • reemii
\(y=-2x+3\). so \(a=-2\) (the slope) and \(b=3\). Therefore 1) the line crosses the y-axis at y=3. -> (a) or (c) 2) the slope is -2. -> (c). Only one line fits the above conditions.
anonymous
  • anonymous
can you show me how on the next one?
reemii
  • reemii
look, one way to see the slope is to count the little squares. example: going 3 squares on the left will make the line go 1 square up. since slope is \(\frac{\Delta y}{\Delta x}\), that means that this line has a slope of 1/3. in your table, you see that "going 1 to the left" will increase the value of y by .... ?
anonymous
  • anonymous
is this number 12?
reemii
  • reemii
no. x=1, -> y =9 x=2 -> y=12 so \(\Delta y = 3\) when \(\Delta x=1\).
anonymous
  • anonymous
ok.
anonymous
  • anonymous
hold on.
reemii
  • reemii
the slope is 3. now, x=0, what is y? just remove the \(\Delta y\) once from the previous y-value. 9 - 3 = 6.

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