Question

work out the equation of the line which passes through the point (-1, 2) and is parallel to the line y=x+4

Answer 1

The equation of the line which passes through the point (-1, 2) and is parallel to the line y = x + 4 is y = x + 3

Solution:

Gtiven that line passes through the point (-1, 2) and parallel to line y = x + 4

We have to find the equation of line

The equation of line in slope intercept form is given as:

y = mx + c  ---------- eqn 1

where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

Given equation of line is y = x + 4

On comparing the given equation of line y = x + 4 with general slope intercept form y = mx + c,

we get slope of line "m" = 1

We know that slopes of parallel lines are equal

So the slope of line parallel to line having equation y = x + 4 is also 1

Now we have to find the equation of line having slope "m" = 1 and passes through point (-1, 2)

Substitute m = 1 and (x, y) = (-1, 2) in eqn 1

2 = 1(-1) + c

2 = -1 + c

c = 3

Thus the required equation of line is:

Substitute c = 3 and m = 1 in eqn 1

y = 1x + 3

y = x + 3

Thus the required equation of line is found out