Answer:
[tex]y = -\frac{1}{2}x - 8[/tex]
Step-by-step explanation:
1. The slope-intercept form of a linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. To find the slope, let's take the two points (-10,-3) and (-8,-4) to then plug their values into this formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
- [tex]\frac{-4-(-3)}{-8-(-10)}[/tex]
- [tex]-\frac{1}{2}[/tex]
3. Great, now that we have our slope, the equation looks like this so far: [tex]y = -\frac{1}{2} x + b[/tex].
4. Since b is the y-intercept, b = -8 because the line intersects the y-axis at the coordinate, (0,-8).
5. When plugging in the values of m and b, we get the equation of [tex]y = -\frac{1}{2} x - 8[/tex]
