Write the equation of the line through (2,4) that is parallel to
C)

Question

Write the equation of the line through (2,4) that is parallel to 
C) ​

Quizplus · Accepted Answer

To find the equation of a line that is parallel to another line, we need to use the fact that parallel lines have the same slope.
The given line has the equation: 11ea984b_afb4_00a4_9029_6f3f061651be_TB4005_00
We can rewrite it in slope-intercept form: y = (-2x + 8). 
This is because the slope of the line is -2 and the y-intercept is 8.
Since the line we want is parallel to this line, it will have the same slope of -2.
We also know that the line passes through (2,4), so we can use point-slope form to find the equation:
y - 4 = -2(x - 2)
Simplifying, we get:
y = -2x + 8
This is the equation of the line through (2,4) that is parallel to the given line.
The correct answer choice is B.

Write the Equation of the Line Through (2,4) That Is