Write equation in slope intercept form (6,-1) and (-1,2)

1. Find the slope ( m ) using the formula:

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - (-1)}{-1 - 6} = \frac{3}{-7} = -\frac{3}{7}

2. Use the point-slope form of the equation y - y_1 = m(x - x_1) with the point (6, -1) :

y - (-1) = -\frac{3}{7}(x - 6)

3. Simplify the equation to get the slope-intercept form y = mx + b :

y + 1 = -\frac{3}{7}x + \frac{18}{7}

4. Subtract 1 from both sides to get y alone:

y = -\frac{3}{7}x + \frac{18}{7} - 1

5. Express 1 as \frac{7}{7} to have a common denominator:

y = -\frac{3}{7}x + \frac{18}{7} - \frac{7}{7}

6. Subtract the fractions:

y = -\frac{3}{7}x + \frac{11}{7}

7. The final equation in slope-intercept form is:

Answer: y=-\frac{3}{7}x+\frac{11}{7}