Question

# 8 Write an equation in slope-intercept form to represent the line parallel to y = -3/4 x + 1/4 passing through the point (4, -2). O y = -3/4x + 1 O y y = 4/3x + 20/3 O y = -3/4 - 2 O y=-3x - 2

Answer 1

If the line is parallel to y = -3/4 x + 1/4 then the slope is -3/4

the form of an equation is y = mx +b

In this case m = -3/4

Using the point given (4, -2) we will find the value of b:

y = mx + b

y = -3/4 x + b

Using the values of the point (4, -2).... x = 4 and y = -2

-2 = (-3/4)(4) + b

Solving for b:

-2 = -3 + b

-2 + 3 = b

1 = b

b = 1

Therefore the equation would be:

y = (-3/4)x + 1

Answer:

y = (-3/4)x + 1