-1/3

Algebra Examples All lines that are parallel to y=3x+4 y = 3 x + 4 have the same slope of 3 .

A line parallel to ax+by+c=0 is of the type ax+by+k=0 , where k≠c . Note this means that only constant term changes. Note that in such cases slopes of both are same i.e. −ab . Hence equation of a line parallel to y=3−2x is y=k−2x , where k≠3 .

So, the equation of the line will be y = 3x + 8. Hope this helps!

All lines that are parallel to y=3x y = 3 x have the same slope of 3 .

The question says that the line l is parallel to the line represented by y=3x + 2. The slope of this line is 3 and the y-intercept is 2. Therefore, the slope of line l should also be 3, but with a different y-intercept. So, the equation of line l can be written as y = 3x + k, where k is the y-intercept of line l.

here, the slope of this line is 2 which is not equal to 3( slope of line is y=3x+4 ). Hence, the line 2y−4x−8=0 is not parallel to the line y=3x+4 .

2 Answers By Expert Tutors. The equation of the line in question is: y = 3x – 4 , which is in slope-intercept form. Note that the general form of the slope-intercept equation is: y = mx + b , where m is the slope of the line (rise/run) and b is the y-intercept of the line (the point where x=0).

Notice the slope is 3/2. To find the slope perpendicular to the above equation, the slope has to be the negative reciprocal.

Explanation: Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line.