(4,7) y=3x+6 write an equation passing through the point and parallel to the given line

Hey!

So the first thing we need to notice is that it says that the line is parallel to the given line. This means that the slope of the two lines are the same. We are given that the slope of the line is 3 so the slope of the line that we are trying to find is also 3.

Now that we know the slope, we can find the y-intercept or b. So using the slope-intercept form equation y = mx + b, we can plug in the value for m, x and y. We know m because that was the slope 3, and x and y are also given to us as a point on the line. Knowing this, we can plug it into our equation:

7 = 3(4) + b

7 = 12 + b

-5 = b

Now that we know the y-intercept or b and the slope or m, we can put this into the slope-intercept form equation to get our

y = 3x - 5

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.