The first step is to rewrite the equation of the line in the slope-intercept form in order to identify the slope of the line. The re-written equation is; y = 3x-7. This implies that the slope of the line is 3. Since the two lines will be parallel they will be having equal slopes of 3. The slope-intercept form of the equation of this line will be; y =3x+c. Since the line passes through (-5, -3), substitute x with -5 and y with -3 to solve for c; -3 =3(-5)+c. Then c =12 and the equation of the line becomes; y =3x+12
In this problem we know the equation of a line, which is:
We also can write this equation as:
This line has a slope which is also the slope of the line we are looking for because they're parallel. We also have a point . Therefore, we can write this equation as follows:
From the figures below, the line in red is while the line in blue is and this line passes through the point (-5, -3)!
To get 1% of $19.99 we can move the decimal place two spots to the left. This leaves us with .2 rounded. Then multiply .2 x 6 because its a 6% sales tax. This gives an answer of $1.2. The sales tax on the pair of jeans is an additional $1.20.
