Question

Write the equation of the line in standard form that passes through the point (1, 7) and has a slope of 2. Show all work.

Answer 1

Answer:

2x - y = - 5

Step-by-step explanation:

First obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 2 + c ⇒ c = 7 - 2 = 5

y = 2x + 5 ← in slope- intercept form

The equation in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Subtract y from both sides

0 = 2x - y + 5 ( subtract 5 from both sides )

- 5 = 2x - y, that is

2x - y = - 5 ← in standard form