The question in the image asks to "Write the equation of a line in slope-intercept form with a slope of $\frac{7}{4}$ and a y-intercept of $-3$."

Solution:

The slope-intercept form of a line is given by: $y = mx + b$ where:

• $m$ is the slope of the line.
• $b$ is the y-intercept.

Here:

• $m = \frac{7}{4}$
• $b = -3$

Substitute these values into the equation: $y = \frac{7}{4}x - 3$

Final Answer:

$y = \frac{7}{4}x - 3$

Would you like further clarification or additional examples?

Related Questions:

1. How do you convert a slope-intercept form equation to standard form?
2. What is the slope of a perpendicular line to $y = \frac{7}{4}x - 3$?
3. How would the equation change if the y-intercept was $0$?
4. Can you determine the x-intercept of the line $y = \frac{7}{4}x - 3$?
5. How do you graph the line $y = \frac{7}{4}x - 3$?

Tip:

When writing a line in slope-intercept form, always double-check the slope and y-intercept values for substitution accuracy!