The slope-intercept form of a line is given by the equation:

$y = mx + b$

where:

• $m$ is the slope
• $b$ is the y-intercept

Given:

• $m = -\frac{3}{5}$
• $b = -1$

Substituting these values into the equation:

$y = -\frac{3}{5}x - 1$

This is the required equation of the line.

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Would you like a step-by-step explanation?

Here are 5 related questions:

1. How do you find the equation of a line given two points?
2. What is the point-slope form of a line, and how does it relate to slope-intercept form?
3. How do you convert an equation from standard form to slope-intercept form?
4. What does the slope represent in a real-world context?
5. How do you determine if two lines are parallel or perpendicular?

Tip:

The y-intercept is the point where the line crosses the y-axis, meaning the x-coordinate is always zero at that point.