Question

write the equation in slope-intercept form and identify the slope and y intercept
7x+6y=17
slope intercept form is y=?
the slope is ?
y-intercept is?

Answer 1

if you solve that for "y", what would you get?

Answer 2

I need help wit the steps.and this website is moving soslow

Answer 3

yeap, sadly this site gets like so

Answer 4

I hate it. its like I have to send a message because it wont let me reply here

Answer 5

well recall to solve linear equations
you isolate the variable on one side

so to isolate "y" on the left-hand-side

subtract "7x" to both sides
then
divide by "6" both sides

what would you get on that?

Answer 6

so would that be 7x+6y-7x=17-7?

Answer 7

well 7x to both sides

you're subtracting it from the left, but on the right side you're only subtracting 7

Answer 8

so 17-7x?

Answer 9

so would it be 6y=10x

Answer 10

on the right, yes, thus \(\bf \cancel{ 7x }+6y\cancel{ -7x }=17-7x\)

now if you divide 6 on both?

Answer 11

will it be 4? cause its not dividing with 10 so I just added 17+7 and got 24

Answer 12

\(\large {
\cancel{ 7x }+6y\cancel{ -7x }=17-7x\implies 6y=17-7x
\\ \quad \\
\cfrac{\cancel{ 6 }y}{\cancel{ 6 }}=\cfrac{17-7x}{6}\implies y=\cfrac{17-7x}{6}
\\ \quad \\
slope-intercept\ form\to y=mx+b\qquad thus
\\ \quad \\
y=\cfrac{17-7x}{6}\implies y=\cfrac{17}{6}-\cfrac{7x}{6}\implies y=-\cfrac{7x}{6}+\cfrac{17}{6}
\\ \quad \\
\implies
\begin{array}{llll}
y=&{\color{purple}{ -\cfrac{7}{6}}}x&{\color{blue}{ +\cfrac{17}{6}}}\\
&\quad \uparrow &\quad \uparrow \\
&{\color{purple}{ slope}}&{\color{blue}{ y-intercept}}
\end{array}
}\)