Question

HELPPPP

What is the equation, in slope-intercept form, of the line that passes through
the point (7, 2) and is parallel to y= -2x+1?

Answer 1

Answer: y = - 2 x + 16

Step-by-step explanation:

Find the slope of the parallel line

(7, 2) and is parallel to y= -2x+1?

When two lines are parallel, they have the same slope.

⇒ if the slope of the given line is = - 2

then the slope of the parallel line (m) = - 2

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - 2 = - 2 (x - 7)

We can therefore write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

since y - 2 = - 2 (x - 7)

∴ y = - 2 x + 16