Question

Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7

A) y= 2x + 2

B) y = -1/2-1/2

C) y = 1/2x+1/2

D) y = - 1/2x+1/2

Answer 1

Answer:

B) y= -½x -½

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

$y = - \frac{1}{2} x + \frac{3}{7}$

Slope of given line= -½

Since parallel lines have the same slope, slope of unknown line= -½.

y= -½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -1, y= 0,

$0 = - \frac{1}{2} ( - 1) + c$

$0 = \frac{1}{2} + c$

$c = - \frac{1}{2}$

Thus, the equation of the line is y= -½x -½.