Please answer and explain all questions

1. Write an equation for the line that passes through (2,5) and (-1,-1). a. Find the slope between the two points: b. Use point slope form y- y, = m(x-x, ), Use point slope form y- y, = m(x-x, ), the slope from a and the point (2,5) to the slope from a and the point (-1, -1) find an equation for this line. to find an equation for this line. . What do you notice about the two equations in part b? Why does this work? 2. Write an equation for the line that passes through (1,2) and (-3,-1). a. Find the slope between the two points: b. In the point (1,2), we know that x =1 Use point slope form y- y, = m(x-x, ), and y=2. Use this information, together the slope from a and the point (1, 2) to with the slope from part a in y = mx + b find an equation for this line. and solve for b. Replace m and b in y = mx +b with the Write the line in slope-intercept form: values you now know. y = mx +b. C. What do you notice about the two equations in part b? Why does this work