Question

write the slope-intercept form of the equation of each line.

1. $9x - 4y = 32$ 92) $8x - 7y = -7$
2. $12x + 5y = -25$ 94) $y - 3 = \frac{3}{2}(x - 2)$
3. $y + 4 = -\frac{2}{5}(x - 5)$ 96) $y - 2 = 2(x - 2)$

Explanation:

91)

Step1: Isolate \( y \) term

Subtract \( 9x \) from both sides: \( -4y = -9x + 32 \)

Step2: Solve for \( y \)

Divide by \( -4 \): \( y=\frac{9}{4}x - 8 \)

Step1: Isolate \( y \) term

Subtract \( 8x \): \( -7y = -8x - 7 \)

Step2: Solve for \( y \)

Divide by \( -7 \): \( y=\frac{8}{7}x + 1 \)

Step1: Isolate \( y \) term

Subtract \( 12x \): \( 5y = -12x - 25 \)

Step2: Solve for \( y \)

Divide by \( 5 \): \( y=-\frac{12}{5}x - 5 \)

Answer:

\( y=\frac{9}{4}x - 8 \)

92)