Question

Write the equation of the line in slop -intercept form given the following inforamatation. the line passes through the point P and Q. 15. y-9=1/2(x+6) 16. P(11,8) Q(-1,8)

Answer 1

13. !4x-2y+9=0 need help with that also

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
P&({\color{red}{ 11}}\quad ,&{\color{blue}{ 8}})\quad Q&({\color{red}{ -1}}\quad ,&{\color{blue}{ 8}})
\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-y_1={\color{green} m}(x-x_1)\qquad \textit{plug in your values and solve for "y"}\)

Answer 3

y - 9 = 1/2(x + 6) -- distribute through the parenthesis
y - 9 = 1/2x + 3 -- add 9 to both sides
y = 1/2x + 3 + 9 -- combine like terms
y = 1/2x + 12 ==> slope intercept form
=========================
P = (11,8) x1 = 11 and y1 = 8
Q = (-1,8) x2 = -1 and y2 = 8
slope(m) = (y2 - y1) / (x2 - x1)
now we sub and find the slope
slope(m) = (8-8) / (-1-11)
slope(m) = 0/-12
slope = 0 (horizontal line)
y = 0x + 8
y = 8
==========================
14x - 2y + 9 = 0
14x -2y = -9
-2y = -14x - 9 -- divide by -2
y = -14/-2x - 9/-2
y = 7x + 9/2 ==> slope intercept form

any questions ?

Answer 4

got it thanka

Answer 5

good to hear :)