Write an equation for each graph in a slope Intercept form

Mathematics

2 answers:

artcher [175]3 years ago

6 0

Answer:

y=2x-3

Step-by-step explanation:

Y-intercept can be read off the graph.

Slope can be determined using the formula:

y2-y1 divided by x2-x1 (Substitute co-ordinates)

AleksandrR [38]3 years ago

6 0

Answer:

y=2x-3

Step-by-step explanation:

y=mx+b

Where m is the slope and b is the y intercept

Slope is rise over run, the line is up 2 over 1

And the point of the line where it meets the y axis is -3. so b is -3

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mr Goodwill [35]

3/4, x, and y that is the answer

6 0

3 years ago

Read 2 more answers

Rewrite in Polar Form....<br> x^(2)+y^(2)-6y-8=0

skad [1K]

$\bf x^2+y^2-6y-8=0\qquad 
\begin{cases}
x^2+y^2=r^2\\\\
y=rsin(\theta)
\end{cases}\implies r^2-6rsin(\theta)=8
\\\\\\
\textit{now, we do some grouping}\implies [r^2-6rsin(\theta)]=8
\\\\\\\
[r^2-6rsin(\theta)+\boxed{?}^2]=8\impliedby 
\begin{array}{llll}
\textit{so we need a value there to make}\\
\textit{a perfect square trinomial}
\end{array}$

$\bf 6rsin(\theta)\iff 2\cdot r\cdot \boxed{3\cdot sin(\theta)}\impliedby \textit{so there}
\\\\\\
\textit{now, bear in mind we're just borrowing from zero, 0}
\\\\
\textit{so if we add, \underline{whatever}, we also have to subtract \underline{whatever}}$

$\bf [r^2-6rsin(\theta)\underline{+[3sin(\theta)]^2}]\quad \underline{-[3sin(\theta)]^2}=8\\\\
\left. \qquad \right.\uparrow \\
\textit{so-called "completing the square"}
\\\\\\\
[r-3sin(\theta)]^2=8+[3sin(\theta)]^2\implies [r-3sin(\theta)]^2=8+9sin^2(\theta)
\\\\\\
r-3sin(\theta)=\sqrt{8+9sin^2(\theta)}\implies r=\sqrt{8+9sin^2(\theta)}+3sin(\theta)$

3 0

3 years ago

Find the equation of a line perpendicular to −4x+4y=4 that contains the point (−4,5).

kati45 [8]

Answer:

y = - x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 4x + 4y = 4 into this form by adding 4x to both sides

4y = 4x + 4 ( divide all terms by 4 )

y = x + 1 ← in slope- intercept form