Question

Determine the equation of the line that has a slope of - 1 fifth and has the same y-intercept as the line: 3x - 2y + 6 = 0

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the y-intercept of the line 3x - 2y + 6 = 0, we need to set x = 0 and solve for y.

3(0) - 2y + 6 = 0
-2y + 6 = 0
-2y = -6
y = 3

So, the y-intercept of the line 3x - 2y + 6 = 0 is 3.

Now, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept, to write the equation of the line with a slope of -1/5 and a y-intercept of 3.

Therefore, the equation of the line is: y = -1/5x + 3.