Question

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

Answer 1

Answer:

c) y= 2x +4

Step-by-step 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.