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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

$3$ . 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) $y=2 / 3 x-3$

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Write a linear equation from a slope and y-intercept

Full solution

Q.

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

Slope-intercept form: Slope-intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Plug in values: Plug in the given slope $(\frac{2}{3})$ for $m$ and the y-intercept $(-3)$ for $b$ into the slope-intercept form. $\newline$ Calculation: $y = (\frac{2}{3})x + (-3)$
Simplify equation: Simplify the equation to get the final form. $\newline$ Calculation: $y = \frac{2}{3}x - 3$

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