Write the polnt-slope form of the equation of the line passing through the points (-5, 6) and (0, 1). y- 6 = 1(x + 5)
y+6= -1(x - 5)
y- 6 = -1(x + 5)
y+ 6 = 1(x - 5)

y - 6 = -1 (x+5)

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula . Substitute the x and y values of (-5,6) and (0,1) into the formula and simplify like so:

So, the slope of the line is -1.

2) Now we have enough information to write the equation of the line in point-slope form. Use the point-slope formula and substitute real values for the , , and .

Since represents the slope of the line, substitute -1 in its place. Since and represent the x and y values of a point the line intersects, substitute the x and y values of (-5, 6) in those places as well. This gives the following equation and

step-by-step explanation: