Question

Which equation represents a line that passes through (4,3/4) and has a slope of 3/4

Answer 1

B.

Explanation:

Got Correct On MyPath.

Answer 2

The point-slope equation for a line that goes through the point (4, 1/3) with a slope of 3/4 is:

Choice B:
`\displaystyle y - (1)/(3) = (3)/(4)(x - 4)`.

Explanation:

This question gives

• a point on the line,
• the slope (a.k.a. gradient) of the line.

Consider the point-slope form of the equation of a line in a cartesian plane:

`y - y_0 = m (x - x_0)`,

where

• 
  `x_0` and
  `y_0` are the coordinates of the given point. The point on the line is
  `(x_0, y_0)`.
• 
  `m` is the slope of the line.

For this line:

• The given point is
  `\displaystyle (4,\; (1)/(3))` where
  `x_0 = 4` and
  `\displaystyle y_0 = (1)/(3)`.
• The slope of the line:
  `\displaystyle m = (3)/(4)`.

The point-slope equation of this line will be:

`\displaystyle y - (1)/(3) = (3)/(4)(x - 4)`.