help me with this please

Question

Enter the equation of the line in slope-intercept form.

 

Slope is −4, and (6,1) is on the line.

The equation of the line is 

 

Answer 1

Use the slope-intercept formula,

y = mx +b

Plug in what you know. The most obvious plug-in is the slope, which, as you know, is represented by m in the formula.

So far, we have

y = -4x +b

But there seem to be too many variables. If we only knew x and y, we could solve for b, right?

But we DO know x and y, because we are given an ordered pair (x,y)=(6,1), which we know makes the equation true. So just plug in those x and y values appropriately:

y = mx +b

1 = -4(6) + b

1 = -24 + b (simplify)

25 = b (add 24 to both sides

Now that we have a value for be, we're done! The formula of the line is

y = -4x + 25

Best wishes!

Answer 2

y = mx + b

m = -4

y = -4x + b

Find b from the given point.

1 = -4(6) + b

Solve for b and finish from here.