To find the equation of this line in slope-intercept form, we can analyze the graph.

Step 1: Identify the Slope (m)

The slope (m) of a line can be calculated using two points on the line, as the formula for slope is: $m = \frac{y_2 - y_1}{x_2 - x_1}$ From the graph:

1. The line passes through the point $(0, 70)$.
2. Another point it passes through is $(20, 0)$.

Using these points: $m = \frac{0 - 70}{20 - 0} = \frac{-70}{20} = -\frac{7}{2}$

Step 2: Identify the y-Intercept (b)

The y-intercept is where the line crosses the y-axis. From the graph, we can see that the line crosses the y-axis at $(0, 70)$, so $b = 70$.

Step 3: Write the Equation in Slope-Intercept Form

The slope-intercept form of a line is: $y = mx + b$ Substituting $m = -\frac{7}{2}$ and $b = 70$, we get: $y = -\frac{7}{2}x + 70$

Final Answer

The equation of the line is: $y = -\frac{7}{2}x + 70$

Would you like a more detailed explanation or have questions?

Related Questions:

1. How would the equation change if the slope were positive?
2. Can you convert this equation into standard form?
3. What is the x-intercept of this line?
4. How do you determine the slope of a line from a graph?
5. How does changing the y-intercept affect the position of the line?

Tip:

When finding the slope between two points, reduce the fraction to its simplest form to make it easier to work with in the equation.