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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 (the value of \( y \) when \( x = 0 \)).

From the image:
- The slope \( m = -1.9 \),
- The y-intercept is \( \frac{4}{5} \).

Thus, substituting these values into the slope-intercept form equation:

\[
y = -1.9x + \frac{4}{5}
\]

So, the equation of the line is:

\[
y = -1.9x + 0.8
\]

Would you like further details on this, or do you have any additional questions?

Here are some related questions you might find helpful:
1. How do you find the slope if only two points on the line are given?
2. What does the slope represent in a real-world context?
3. How do you convert a slope-intercept equation to standard form?
4. What happens if the slope is zero? How would the line look?
5. How can you find the x-intercept from the slope-intercept form?

**Tip**: When working with fractions in slope-intercept equations, try to convert them to decimals if it simplifies your calculations, but keep the fraction if exact values are required.

Write a slope-intercept equation for a line with the given characteristics: m = -1.9, y-intercept = 4/5

Learn how to write a slope-intercept equation for a line with slope -1.9 and y-intercept 4/5. This problem covers key algebraic concepts, including the slope-intercept formula, and is suitable for students in Grades 8-10.

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