Equation of line parallel to y=5x+1 and containing the point (5,8)?
The slope of a line parallel to y=5x+1 would be 5. Parallel lines have the same slope.
Using the slope-intercept form of the eqn of a str line:
8 = 5(5) + b so 8 = 25 + b, and b = -17.
Thus, the desired equation is y = mx + b, or y = 5x - 17.
Check it! When x = 5, is y =8? 5(5)-17 = 25-17=8. YES
The slope of the line in #2 is 5. The slope of a line perpendicular to y = 5x - 17 is the negative reciprocal of 5:
m = -1/5 (answer).
Show me what you've done on #4, and then I'll get back to you with suggestions (if neeed).
