The document contains several math questions. Here are the solutions to each:

1. Identifying a linear equation in slope-intercept form:

   • Slope-intercept form is given by $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
   • Answer: $y = 2x + 5$.

2. Finding the slope of a line passing through points $(3,4)$ and $(7,10)$:

   • Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 4}{7 - 3} = \frac{6}{4} = \frac{3}{2}$.
   • Answer: $\frac{3}{2}$.

3. Equation of a line with a slope of 2 and y-intercept of -3:

   • Substitute into slope-intercept form $y = mx + b$: $y = 2x - 3$.
   • Answer: $y = 2x - 3$.

4. Slope of the line represented by $4x - 2y = 8$:

   • Rewrite in slope-intercept form: $-2y = -4x + 8 \Rightarrow y = 2x - 4$.
   • Answer: $2$.

5. Identifying the irrational number:

   • A rational number can be expressed as a fraction of two integers. $0.75$, $\frac{3}{4}$, and $-2$ are rational. $\sqrt{3}$ is irrational.
   • Answer: $\sqrt{3}$.

Would you like detailed steps for any question?

Here are some related questions for practice:

1. Convert the equation $3x + 5y = 15$ into slope-intercept form and identify the slope and y-intercept.
2. Calculate the slope of a line passing through $(1, -1)$ and $(4, 2)$.
3. Write the equation of a line with a slope of $-1$ and passing through the point $(0, 5)$.
4. Identify whether the number $\sqrt{5}$ is rational or irrational.
5. For the line equation $y = -\frac{1}{2}x + 3$, identify the slope and y-intercept.

Tip: When identifying linear equations, always aim to rewrite them in $y = mx + b$ form to quickly find slope and y-intercept.