Question

What is an equation of the line that passes through the point left bracket, minus, 1, comma, 1, right bracket(−1,1) and is parallel to the line 3, x, plus, y, equals, 93x+y=9?

Answer 1

The equation of the line parallel to the given line passing through (-1,1) is y = 3x + 4.

Step-by-step explanation:

The equation of a line parallel to y = 9 + 3x will have the same slope as the given line. The slope of the given line is 3. Since two lines are parallel if and only if they have the same slope, the equation of the line we are looking for will also have a slope of 3. Therefore, the equation of the line parallel to y = 9 + 3x passing through the point (-1,1) can be represent as:

y - 1 = 3(x - (-1))

Expanding the equation:

y - 1 = 3x + 3

y = 3x + 4