Write an equation for the line parallel to y=5x+11y=5x+11 that passes through the point P(7,2).
Answers
There is a second line that passes through the point (1,2) and is parallel to the line given above. What is the equation of this second line?
Possible Answers:
y=34x+2.75
y=34x+1.25
y=−34x+1.25
y=34x+2.625
y=−34x+2.75
Correct answer:
y=−34x+2.75
Explanation:
Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.
3x + 4y = 12
4y = –3x + 12
y = –(3/4)x + 3
slope = –3/4
We know that the second line will also have a slope of –3/4, and we are given the point (1,2). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.
y = mx + b
2 = –3/4(1) + b
2 = –3/4 + b
b = 2 + 3/4 = 2.75
Plug the y-intercept back into the equation to get our final answer.
y = –(3/4)x + 2.75
Answer:
Step-by-step explanation:
There is a second line that passes through the point (1,2) and is parallel to the line given above. What is the equation of this second line?
Possible Answers:
y=34x+2.75
y=34x+1.25
y=−34x+1.25
y=34x+2.625
y=−34x+2.75
Correct answer:
y=−34x+2.75
Explanation:
Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.
3x + 4y = 12
4y = –3x + 12
y = –(3/4)x + 3
slope = –3/4
We know that the second line will also have a slope of –3/4, and we are given the point (1,2). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.
y = mx + b
2 = –3/4(1) + b
2 = –3/4 + b
b = 2 + 3/4 = 2.75
Plug the y-intercept back into the equation to get our final answer.
y = –(3/4)x + 2.75