j2lie
  • j2lie
If the slope of the line that passes through the points (a,0) and (1,-2) is 1/2, what is the value of a? @jim_thompson5910
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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freckles
  • freckles
have you applied the slope formula?
freckles
  • freckles
\[m=\frac{y_2-y_1}{x_2-x_1} \]
j2lie
  • j2lie
No. I do not know that to do that with this problem.

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freckles
  • freckles
well you are given two points on a line and the slope ... which makes me think slope formula since only one of the values is unknown in the pairs given you are given m is 1/2 (x1,y1)=(1,-2) and (x2,y2)=(a,0)
freckles
  • freckles
\[\frac{1}{2}=\frac{0-(-2)}{a-1}\] solve for a
j2lie
  • j2lie
a = -2
freckles
  • freckles
how did you get that?
j2lie
  • j2lie
0 + 2 is 2 and a - 1 is -1
freckles
  • freckles
it might make it easier on you if you flip both sides \[\frac{2}{1}=\frac{a-1}{0-(-2)}\] see if you can solve now
freckles
  • freckles
by the way 2/1 is just 2
jdoe0001
  • jdoe0001
\(\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ a}}\quad ,&{\color{blue}{ 0}})\quad % (c,d) &({\color{red}{ 1}}\quad ,&{\color{blue}{ -2}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\implies \cfrac{{\color{blue}{ -2}}-{\color{blue}{ 0}}}{{\color{red}{ 1}}-{\color{red}{ a}}}=\cfrac{1}{2}\)
j2lie
  • j2lie
I am confused now.
freckles
  • freckles
confused on how to solve 2=(a-1)/2 for a?
j2lie
  • j2lie
Yes.
freckles
  • freckles
are confused on the flipping part? confused on the equation we got?
j2lie
  • j2lie
I am confused on solving with A.
freckles
  • freckles
solving with A?
freckles
  • freckles
what does that mean
freckles
  • freckles
you mean solve for a?
j2lie
  • j2lie
The variable is A in the equation
freckles
  • freckles
don't we have a not A? \[\frac{1}{2}=\frac{0-(-2)}{a-1} \\ \\ 0-(-2) \text{ is the same as } 2 \\ \text{ you have } \\ \frac{1}{2}=\frac{2}{a-1}\]
freckles
  • freckles
you can flip both sides like I did earlier \[\frac{2}{1}=\frac{a-1}{2} \\ \text{ now } \frac{2}{1}=2 \\ 2=\frac{a-1}{2}\]
freckles
  • freckles
try to undo that division by 2 ...multiply 2 on both sides
j2lie
  • j2lie
1=4/a-1?
freckles
  • freckles
well 2 times 2 is 4 not 1 and how did you put a-1 back in the denominator? also 2/2=1 not 4...
freckles
  • freckles
oh you went backwards
j2lie
  • j2lie
it is 1/2 times 2
freckles
  • freckles
do you see this equation 2=(a-1)/2 I was asking you multiply this equation by 2 on both sides
freckles
  • freckles
this gives you 4=a-1
j2lie
  • j2lie
how did you get 2?
freckles
  • freckles
@Jhannybean you can finish i have to leave I'm sorry
j2lie
  • j2lie
I get it now.
Jhannybean
  • Jhannybean
\[2=\frac{a-1}{2} \implies 4 = a-1 \implies a= 4+1\]
j2lie
  • j2lie
That is what I got.
j2lie
  • j2lie
Thank you.

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