Question

Find an equation for a line that is parallel to y=-2x+3 and passes through (3,8)?

Please help!!I know what the answer is I just don't know how to work it out!!

Answer 1

Step 1:

The equation is and point is .

Compare the equation of the line with slope - intercept form is .

Where is the slope.

is the intercept.

So .

If two lines are parallel, then their slopes are must be equal.

Find the equation of the line passing through the point .

Using point - slope form of a line equation is .

Substitute and in the point - slope form.

Add 8 to each side.

Solution :

The equation of the line is .