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?

Question

asked Nov 2, 2022 124k views

1 Answer

Cachapa · Answer 1 · 2022-11-07T20:24:22+0000

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)