Answer: x - 4y = -16
Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.
The given point, (4, 5), represents (x₁, y₁).
So if we plug all our given information into the formula,
including our slope of 1/4, we get y - 5 = 1/4(x - 4).
To put our equation in standard form, first, distribute
the 1/4 through the parentheses.
So we get y - 5 = 1/4x - 1.
Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.
That gives us 4y - 20 = x - 4.
Now moves the -20 to the right side by adding 20 to both sides.
So we get 4y = x + 16.
Now subtract x from both sides to get -x + 4y = 16.
Finally, our coefficient on our x term must be positive so we
divide both sides by -1 to get x - 4y = -16.
