Question

As indicated below, write the equations of the line passing through the point (2, 4) and parallel to the line whose equation is y = x. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Part 1: Point-Slope form of the linear equation

Part 2: Slope-intercept form of the linear equation

Part 3: The general form of the linear equation

Answer 1

See below in bold.

Explanation:

Part 1.

The point slope form is y - y1 = m(x - x1)

Here m, the slope = 1 as it is parallel to y = x , x1 = 2 and y1 = 4 so

y - 4 = 1(x - 2)

y - 4 = x - 2 is the required equation.

Part 2.

y - 4 = x - 2

y = x - 2 + 4

y = x + 2 is the slope-intercept form.

Part 3.

y = x + 2

-x + y = 2 is the general (standard) form of the equation.