Question

What is the equation of the line that is parallel to the line y= -1/3x+4 and passed through the point (6,5)?

Answer 1

Answer:

The correct answer is the second equation

Step-by-step explanation:

Parallel lines have equal gradient or slopes, and as such the slope of this line would be -1/3. The general equation of the line in slope-intercept form will thus be; y=-1/3x+c. Replace x with 6 and y with 5 to solve for c, and this yields c=7.

Answer 2

Answer: option B

Step-by-step explanation:

1. By definition if the the lines are parallel, this means hath both lline have equal slope.

2. Therefor, you must substitute the values of the point given in the problem into the given equation of the line and solve for the y-intercept b, as you can see below:

$5=-\frac{1}{3}(6)+b\\b=5+2\\\\b=7$

3. THerefore the equation of the line asked is:

$y=-\frac{1}{3}x+7$