Write in slope-intercept form an equation of the line that passes through the point (7,2) and is perpendicular to the line y = -4x + 10.

Answer 1

y=mx +b where m= slope = 1/4,plug in the point to solve for b = y intercept

2 = 1/4(7) + b

b = 2-7/4 = 1/4 = y intercept

the perpendicular line through the point (7,2) is y=x/4 -1/4

to be perpendicular means the x coefficient is the negative inverse. take -4 change its sign and flip it upside down to get +1/4 = slope

or if you want to eliminate the fractions

4y =x -1

or 4y-x= -1