Question

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

Answer 1

The standard form of the equation is -3x + y = -19

Step-by-step explanation:

To find the standard form, we first need to note that the slope will be 3 since parallel lines have the same slope. Then we can use point-slope form and manipulate into standard form.

y - y1 = m(x - x1)

y - 5 = 3(x - 8)

y - 5 = 3x - 24

-3x + y - 5 = -24

-3x + y = -19