Question

A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?

Answer 1

Answer:

y = 4x - 7

Step-by-step explanation:

y = mx + b

y = 4x + b

1 = 4(2) + b

b = 1 - 8

b = -7

y = 4x - 7

Answer 2

Answer:

y = 4x-7

Step-by-step explanation:

We have a slope and a point

m = 4    (2,1)

Using the slope intercept form of the equation

y = mx+b

y = 4x+b

From the point x=2 and y =1

1 = 4(2)+b

1 = 8+b

Subtract 8 from each side

1-8 =8-8+b

-7 = b

We can write the equation by using m=4 and b = -7

y = 4x-7