Write an equation in slop-intercept form for the line that passes through (-3,1) and is parallel to y=2x-4

The equation of line in slop-intercept form is given by:

Step-by-step explanation:

Given equation of line:

To find the equation of line parallel to the line of the given equation and passes through point (-3,1).

Applying slope relationship between perpendicular lines.

where and are slopes of parallel lines.

For the given equation in the form the slope can be found by comparing with standard form.

∴

Thus slope of line parallel to this line would be given as:

∴

The line passes through point (-3,1)

Using point slope form:

Where and

So,

Using distribution.

Adding 1 to both sides.

Thus the equation of line in slop-intercept form is given by: