A general linear equation of the line that has slope -2 and that passes through the point (1,3)is
A) 2x + y + 1 = 0.
B) 2x - y + 1 = 0.
C) 2x + y - 7 = 0
D) 3x + y + 5 = 0
E) 2x + y - 5 = 0

Question

Quizplus · Accepted Answer

The general linear equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. We are given that the line has a slope of -2 and passes through the point (1,3).

Using the point-slope form of the equation of a line, we have:

y - 3 = -2(x - 1)

Simplifying this equation, we get:

y - 3 = -2x + 2

y = -2x + 5

Converting this equation into the general linear form, we get:

2x + y - 5 = 0

Therefore, the correct answer is E.

A General Linear Equation of the Line That Has Slope