Question

what is the equation in standard form of the line that passes through the point (4,8) and has a slope of 1/4

Answer 1

Answer:

The standard form of the equation would be -x + 4y = 28

Step-by-step explanation:

To find the equation of the line in standard form, start with the point-slope form of the line and then solve for the constant.

y - y1 = m(x - x1)

y - 8 = 1/4(x - 4)

y - 8 = 1/4x - 1

-1/4x + y - 8 = -1

-1/4x + y = 7

Now multiply each term by the largest denominator.

-x + 4y = 28