Answer:
4
Step-by-step explanation:
To solve this we are using the distance formula:
where
are the coordinates of the first point
are the coordinates of the second point
We know that the first point is (2, –6), so and
. The second point is (0, √7), so
and
. Let's replace the values in our formula to find the distance between the points:
We can conclude that the distance between (-3, 0) and (0, √7) is 4.
Answer:
y = x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 1 ← is in slope- intercept form
with slope m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, thus
y = x + c ← is the partial equation of the perpendicular line
To find c substitute (6, 3) into the partial equation
3 = 2 + c ⇒ c = 3 - 2 = 1
y = x + 1 ← equation of perpendicular line