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Let’s check out your problem:

a)
-4x
b) -5
c) 5
d) -4
3. How would you write the equation with a slope of
2//3 and a
y-intercept of -3
a)
y=3//2x+3
b)
y=2//3-3
c)
y=2//3x+3
d)
y=2//3x-3
4.
Write the equation for the line.
(a)
y=4x+3
b)
y=-1x+3
d)
y=-4x+3

a) $-4 x$ $\newline$ b) $-5$ $\newline$ c) $5$ $\newline$ d) $-4$ $\newline$ $3$ . How would you write the equation with a slope of $2 / 3$ and a $y$ -intercept of $-3$ $\newline$ a) $y=3 / 2 x+3$ $\newline$ b) $y=2 / 3-3$ $\newline$ c) $y=2 / 3 x+3$ $\newline$ d) $y=2 / 3 x-3$ $\newline$ $4$ . $\newline$ Write the equation for the line. $\newline$ (a) $y=4 x+3$ $\newline$ b) $y=-1 x+3$ $\newline$ d) $y=-4 x+3$

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Write equations of cosine functions using properties

Full solution

Q. a)

-4 x

\newline

b)

-5

\newline

c)

5

\newline

d)

-4

\newline

3

. How would you write the equation with a slope of

2 / 3

and a

y

-intercept of

-3

\newline

a)

y=3 / 2 x+3

\newline

b)

y=2 / 3-3

\newline

c)

y=2 / 3 x+3

\newline

d)

y=2 / 3 x-3

\newline

4

.

\newline

Write the equation for the line.

\newline

(a)

y=4 x+3

\newline

b)

y=-1 x+3

\newline

d)

y=-4 x+3

Identify Equation Components: For the slope of $\frac{2}{3}$ and a y-intercept of $-3$ , the equation of the line is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Substitute Values: Substitute $m = \frac{2}{3}$ and $b = -3$ into the equation to get $y = \left(\frac{2}{3}\right)x - 3$ .
Check Options: Check the options given: a) $y = \frac{3}{2}x + 3$ , b) $y = \frac{2}{3} - 3$ , c) $y = \frac{2}{3}x + 3$ , d) $y = \frac{2}{3}x - 3$ .
Select Correct Option: The correct option that matches our equation is d) $y = \frac{2}{3}x - 3$ .

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