Jocelyn writes the equation of a line that passes through the point (4,0) and that is perpendicular to the line y= -2X + 1. IF Jocelyn write her equation in the form y= MX +B, what is the value of B?

Question

jim_thompson5910 · Answer

the slope of y= -2x + 1 is -2

jim_thompson5910 · Answer

flip the fraction and flip the sign to get m = 1/2

this is the perpendicular slope

jim_thompson5910 · Answer

y = mx + b

y = (1/2)x + b ... plug in the perpendicular slope

0 = (1/2)*(4) + b ... plug in the given point (4,0)

0 = 4/2 + b

keep going to solve for b

jim_thompson5910 · Answer

0 = 4/2 + b

turns into

0 = 2 + b

...

...

b = ??