Question

To find the equation of a line parallel to

y=−3x+2 and goes through (1,5), determine the slope of the parallel line and use the slope-intercept form. The equation is y=−3x+8.
a. y=−3x+6
b. y=−3x+8
c. y=3x+8
d. y=3x+6

Answer 1

Answer: C.

Step-by-step explanation:

Answer 2

The equation of the line parallel to y = -3x + 2 and passing through (1,5) is y = -3x + 8.

Step-by-step explanation:

The equation of a line in slope-intercept form is typically expressed as y = mx + b, where m represents the slope and b represents the y-intercept. To find the equation of a line parallel to y = -3x + 2 and passing through the point (1,5), we first acknolwedge that the slope of the parallel line must be the same as that of the given line, which is -3. We then plug in the coordinates of the point and the slope into the slope-intercept form to find the y-intercept of the new line:

y = mx + b
(5) = (-3)(1) + b
5 = -3 + b
b = 5 + 3
b = 8

Therefore, the equation of the line parallel to y = -3x + 2 that passes through (1,5) is y = -3x + 8.