Question

1. write in slope intercept form

$5x - 3y = -9$
a $y=(3/5)x + 3$
b $y=(5/3)x + 3$
c $y=(5/3)x - 3$
d $y=(5/3)x + 9$

1. which is the graph of $y=-x + 2$

a a
b b
c d
d c

1. which equation represents the following graph?

a $y=3x + 2$
b $y=-2x + 3$
c $y=-3x + 2$
d $y=2x + 3$

Explanation:

Step1: Isolate the y-term

$5x - 3y = -9 \implies -3y = -5x -9$

Step2: Solve for y

$y = \frac{-5x -9}{-3} = \frac{5}{3}x + 3$

Step3: Analyze $y=-x+2$

Slope $m=-1$ (line falls left to right), y-intercept $b=2$ (crosses y-axis at $(0,2)$). Graph A matches this.

Step4: Find equation for the graph

Identify y-intercept $b=2$, slope $m=\frac{3}{1}=3$. Equation: $y=3x+2$

Answer:

1. B. $y = (5/3)x + 3$
2. A. A
3. A. $y=3x+2$