-3x-6y=17

-6y=3x+17

y=-x/2-17/6 so the slope of the line is -1/2

For another line to be perpendicular to this one the product of their slopes must equal -1

(-1/2)m=-1, m=2 so the perpendicular line will have a slope of 2...

y=2x+b, using point (6,3) we can solve for b...

3=2(6)+b

3=12+b

b=-9 so

y=2x-9

4 0

2 years ago

A line passes through (9, –9) and (10, –5).Write an equation for the line in point-slope form.

Ket [755]

bearing in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-9)}{10-9}\implies \cfrac{-5+9}{1}\implies \cfrac{4}{1}\implies 4$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-9)=4(x-9)\implies\underline{y+9=4(x-9)} \\\\\\ y+9=4x-36\implies y=4x-45\implies \stackrel{standard~form}{\underline{-4x+y=-45}}$

quick note:

the "x" must not have a negative coefficient for the standard form, though in this case it shows like so in the inappropriate choices above.

5 0

2 years ago

How many votes if 300 is 60%

KengaRu [80]

Answer:

180

Step-by-step explanation:

bc .60x300

to find the it u just .60 because it's a percentage

5 0

2 years ago

Read 2 more answers

Which of the following is the result of the operation below?

Arlecino [84]

I don’t really know

8 0

2 years ago

1/2 (4 - 2x); 2-2x can some one help​

1/2 (4 - 2x); 2-2x can some one help