Question

A line passes through the points(-10,-4) and(-1,2) .
What is the y-intercept of the line?

Answer 1

Ok, find the slope then put it into point slope form then convert that into slope intercept form, which is y = mx + b where b is the y intercept

Answer 2

To find the slope put your coordinates into M = (Y2-y1)/(X2-x1)

M = 2-(-4)/-1-(-10)

M = 2 +4/ -1+10

Solve that

Answer 3

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -10}}\quad ,&{\color{blue}{ -4}})\quad &({\color{red}{ -1}}\quad ,&{\color{blue}{ 2}})
\end{array}
\\\quad \\

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}}}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green} m}(x-{\color{red}{ x_1}})\qquad \textit{plug in your values and solve for "y"}\)

Answer 4

=.=

Answer 5

you'd end up with something like \(\large \begin{array}{llll}
y=\square x&+\square \\
&\ \uparrow \\
&\textit{y-intercept}
\end{array}\)

Answer 6

so my y-intercept is -4

Answer 7

Well did you find your slope first?

Answer 8

yes

Answer 9

slope was 2/9

Answer 10

6/9

Answer 11

6/9 was not none of the answers

Answer 12

Simplified is 2/3

So, y-1y=2/3(x-x1)

y -(-4)=2/3x + 6.7

y + 4 = 2/3x + 6.7
-4 -4

y = 2/3x + 2.7

What're the options, I'm pretty sure 0.66666666666666666666666666666667 rounded is 6.7

Answer 13

Typo, 6.6666666666666666666666666666667 *

Answer 14

What're the options, I wanna make sure :p

Answer 15

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -10}}\quad ,&{\color{blue}{ -4}})\quad &({\color{red}{ -1}}\quad ,&{\color{blue}{ 2}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ 2}}-({\color{blue}{ -4}})}{{\color{red}{ -1}}-({\color{red}{ -10}})}\implies \cfrac{6}{9}
\\ \quad \\

y-({\color{blue}{ -4}})={\color{green} {\cfrac{6}{9}}}(x-({\color{red}{ -10}}))\implies y+4=\cfrac{6}{9}(x+10)\)

Answer 16

@jdoe0001 6/9 simplfiys to 2/3

Answer 17

yes :)