Question

Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.

Question 2 options:

a)

y = 2x + 3


b)

y = –0.5x – 4


c)

y = 2x + 4


d)

y = 0.5x + 4

Answer 1

c) y= 2x +4

Explanation:

Slope-intercept form:

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

Parallel lines have the same gradient.

Gradient of given line= 2

m= 2

y= 2x +c

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

when x= -1, y=2,

2= 2(-1) +c

2= c -2

c= 2 +2

c= 4

Thus, the equation of the line is y= 2x +4.