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

- j2lie

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- freckles

have you applied the slope formula?

- freckles

\[m=\frac{y_2-y_1}{x_2-x_1} \]

- j2lie

No. I do not know that to do that with this problem.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- 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

\[\frac{1}{2}=\frac{0-(-2)}{a-1}\]
solve for a

- j2lie

a = -2

- freckles

how did you get that?

- j2lie

0 + 2 is 2 and a - 1 is -1

- 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

by the way 2/1 is just 2

- 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

I am confused now.

- freckles

confused on how to solve 2=(a-1)/2 for a?

- j2lie

Yes.

- freckles

are confused on the flipping part?
confused on the equation we got?

- j2lie

I am confused on solving with A.

- freckles

solving with A?

- freckles

what does that mean

- freckles

you mean solve for a?

- j2lie

The variable is A in the equation

- 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

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

try to undo that division by 2 ...multiply 2 on both sides

- j2lie

1=4/a-1?

- 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

oh you went backwards

- j2lie

it is 1/2 times 2

- freckles

do you see this equation
2=(a-1)/2
I was asking you multiply this equation by 2 on both sides

- freckles

this gives you 4=a-1

- j2lie

how did you get 2?

- freckles

@Jhannybean you can finish
i have to leave I'm sorry

- j2lie

I get it now.

- Jhannybean

\[2=\frac{a-1}{2} \implies 4 = a-1 \implies a= 4+1\]

- j2lie

That is what I got.

- j2lie

Thank you.

Looking for something else?

Not the answer you are looking for? Search for more explanations.