Question

write an equation in standard form for a line that is (a) parallel (b) to the line with an equation of y=3x-5 that passes through the point (8,5)

Answer 1

Answer:

The parallel line would be y = 3x - 19

Step-by-step explanation:

In order to find the equation of this line, we first have to note that parallel lines have same slopes. Therefore, since the original line has a slope of 3, we know the new line will have a slope of 3. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 5 = 3(x - 8)

y - 5 = 3x - 24

y = 3x - 19