Question

Choose an equation in slope-intercept form for the line that passes through (-8,1) and is perpendicular to the y=2x-17. Select one: a. y= -(1/2)x - 3 b. y= -(1/2)x - 5 c. y= -2x - 4 d. y= -2x+1

Answer 1

The given equation of the line is in slope-intercept form which is generally expressed as y = mx + b. m and b are the slope and y -intercept, respectively. The slope of the given line is 2. The line perpendicular to this has a slope of -1/2. The line has the equation,
                          y - 1 = (-1/2)(x - -8)
Simplifying the equation gives,
                            y = (-1/2)x - 3
Thus, the answer is letter A.