Question

A line passes through (2, −1)(2, −1) and (4, 5)(4, 5).

Answer 1

1.  Find the slope and y-intercept for the equation 2y = -6x + 8.First solve for "y =":      y = -3x + 4
Remember the form:     y = mx + b
Answer:  the slope (m) is -3
                the y-intercept (b) is 43.  Given that the slope of a line is -3 and the line passes through the point (-2,4), write the equation of the line. The slope:  m = -3
The point (x1 ,y1) = (-2,4)
Remember the form:  y - y1 = m ( x - x1)
Substitute:                 y - 4 = -3 (x - (-2))
ANS.                        y - 4 = -3 ( x + 2)   

If asked to express the answer in "y =" form:             y - 4 = -3x - 6
                          y = -3x - 2 
2.  Find the equation of the line whose slope is 4 and the coordinates of the y-intercept are (0,2).In this problem m = 4 and b = 2.
Remember the form:  y = mx + b and that bis where the line crosses the y-axis.
Substitute:           y = 4x + 2     4.  Find the slope of the line that passes through the points (-3,5) and (-5,-8).First, find the slope:    

Use either point:  (-3,5)
Remember the form:  y - y1 = m ( x - x1)
Substitute:  y - 5 = 6.5 ( x - (-3))
                  y - 5 = 6.5 (x + 3)  Ans.