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.