Question

Identify an equation in point-slope form for the line parallel to y = 1*-7 that

Answer 1

Answer:

y + 2 = 1 (x+3) ............> y + 2 = x + 3

Explanation:

The general form of the equation of a line in point-slope form is:

y - y₁ = m (x - x₁)

where:

m is the slope of the line

(x₁ , y₁) is a point that belongs to the line

The general form of the equation of a line in slope-intercept form is:

y = mx + c

where:

m is the slope

c is the y-intercept

1- Getting the point:

We are already given the point (-3 , -2) so we'll directly use it

2- Getting the slope

We are given that our line is parallel to the line:

y = 1x - 7

We know that parallel lines have equal slopes

This means that:

slope of the line we want = 1

3- Getting the equation:

Substitute with the point and slope in the above form to get the equation

This is done as follows:

y - y₁ = m (x - x₁)

y - (-2) = 1 (x - (-3))

y + 2 = 1 (x + 3)

y + 2 = x + 3

Hope this helps :)