Question

Please help me fast!!

Answer 1

Answer:

$y = -\frac{1}{4}x$

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 = slope.

2. To find the slope, let's take the two points (0,0) and (-40,10). After that, let's plug in the values to their corresponding variable in the formula: $\frac{y_2-y_1}{x_2-x_1}$

• $\frac{10-0}{-40-0}$
• $\frac{10}{-40}$
• $-\frac{1}{4}$

3. Since we now know our slope, the equation looks like this so far: $y = -\frac{1}{4}x + b$.

4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0).

5. Now that we have the values of m and b, we plug in them to get the equation of: $y=-\frac{1}{4}x$