Question

What is the equation of the line in slope intercept form using these points?

Answer 1

Answer:

y = -x - 1

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope given two points, we can use the formula $\frac{y_2-y_1}{x_2-x_1}$ and plug in the corresponding variable.

• $\frac{5-(-2)}{-6-1}$
• $\frac{5+2}{-7}$
• $\frac{7}{-7}$
• $-1$

3. Okay, so the slope is -1x or just -x. This means that the equation looks like this so far: y = -x + b

4. To find b, the y-intercept, we can take the equation of $b = y_1 - m * x_1$ and plug in the values!

• $b = -2-(-1)*1$
• $b = -2 + 1 * 1$
• $b = -1 * 1$
• $b = -1$

5. Now that we have our y-intercept and slope, let's plug in those values and find the equation!

• $y = -x - 1$

Therefore, the equation of the line is y = -x - 1. I hope this helped you!