QuestionFind the slope and the $y$-intercept of the graph of the linear equation.
1. $y=3 x+4$
2. $y=-5 x-1$
3. $y=\frac{2}{3} x-2$
4. $y+7=4 x$
5. $y-3=-6 x$
6. $y+9=\frac{3}{4} x$

Studdy Solution
For the equation $y + 9 = \frac{3}{4}x$:
- Rearrange to slope-intercept form by subtracting 9 from both sides: $ y = \frac{3}{4}x - 9 \] - The slope \( m \) is \( \frac{3}{4} \). - The y-intercept \( b \) is \( -9 \).
The slopes and y-intercepts for each equation are:
1. Slope: $3$, Y-intercept: $4$
2. Slope: $-5$, Y-intercept: $-1$
3. Slope: $\frac{2}{3}$, Y-intercept: $-2$
4. Slope: $4$, Y-intercept: $-7$
5. Slope: $-6$, Y-intercept: $3$
6. Slope: $\frac{3}{4}$, Y-intercept: $-9$