2) Write the standard form of the equation of each line given the slope and y- intercept a) Slope=-3,y-intercept=-3 b) Slope=(3)/(2),y-intercept=4 c) Slope=-(1)/(5),y-intercept=4

## Step 1: Using the Slope-Intercept Form<br />### The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.<br /><br />## Step 2: Solving for (a)<br />### Substitute $m = -3$ and $b = -3$ into $y = mx + b$: $y = -3x - 3$. Add $3x$ to both sides to get $3x + y = -3$.<br /><br />## Step 3: Solving for (b)<br />### Substitute $m = \frac{3}{2}$ and $b = 4$ into $y = mx + b$: $y = \frac{3}{2}x + 4$. Subtract $\frac{3}{2}x$ from both sides: $-\frac{3}{2}x + y = 4$. Multiply both sides by -2 to eliminate the fraction and make the coefficient of x positive: $3x - 2y = -8$.<br /><br />## Step 4: Solving for (c)<br />### Substitute $m = -\frac{1}{5}$ and $b = 4$ into $y = mx + b$: $y = -\frac{1}{5}x + 4$. Add $\frac{1}{5}x$ to both sides: $\frac{1}{5}x + y = 4$. Multiply both sides by 5 to eliminate the fraction: $x + 5y = 20$.