Question

Write an equation in slope-intercept form of the line that passes
through the points (-2,-1) and (3,5).

Answer 1

@TylerD

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -2}}\quad ,&{\color{blue}{ -1}})\quad &({\color{red}{ 3}}\quad ,&{\color{blue}{ 5}})
\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 the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 3

\[\frac{ 5-(-1) }{ 3-(-2) }\]

Answer 4

M = \[\frac{ 6 }{ 5 }\]

Answer 5

\[y-(-1)=\frac{ 6 }{ 5 }(x-(-2))\]
\[y+1=\frac{ 6 }{ 5 }x+\frac{ 12 }{ 5 }\]

the finaly subtract 1 from both sides we get

\[y=\frac{ 6 }{ 5 }x+1.4\]

Answer 6

when you subtract a negative it becomes + thats why y-(-1) becomes y+1

Answer 7

same for the x-(-2) it becomes x+2

2 times 6/5 = 12/5

Answer 8

Write an equation of a line that is perpendicular to y = 2x + 3 and
passes through (3,4).

Answer 9

thk u so much Tyler just a few more n ill b done

Answer 10

so perpendicular lines are lines that form a right angle (90 degrees) where they intersect

Answer 11

so if our slope is M=2 a slope for the perpendicular line would be M=-0.5

so the slope is the negative reciprocal

reciprocal of 2 = 1/2

make it negative -1/2

Answer 12

hmmmm
interesting
keep goin Tyler

Answer 13

y=-0.5x+3 is perpendicular to y=2x+3

Answer 14

wait

Answer 15

did not notice it says passes through (3/4)

Answer 16

er (3,4)

Answer 17

so in this case we have to solve

y=-0.5x+b

Answer 18

yes I c that

Answer 19

4=-0.5(3)+b

4=-1.5+b

b=5.5

Answer 20

hmmmm
interesting

Answer 21

so the solution is y=-0.5x+5.5

Answer 22

can u help with my math @mathkid10

Answer 23

im here u just c meh

Answer 24

*cant

Answer 25

@TylerD pls help meh *~*

Answer 26

my internet is actin up again

Answer 27

close and start a new

Answer 28

ok

Answer 29

sure