<h2>The distance between two points is
or 9.9 units</h2>
<em><u>Solution:</u></em>
<em><u>The distance between two points is given as:</u></em>
From given,
<em><u>Substituting the values we get,</u></em>
Thus the distance between two points is or 9.9 units
Answer:
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is 
.
We will substitute and 
.
.
This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).
First of all we have to find the slope
3x - 4y = 12
-4y = 12 - 3x
y = -3 + ³/₄ x
y = ³/₄x - 3
so the slope is ³/₄
now the equation is :
y-y₁ = m (x-x₁)
y-8 = ³/₄ (x-8)
y-8 = ³/₄ x - 6
y = ³/₄ x -6 + 8
y = ³/₄x + 2
Answer:
x = -2 and y = 0
Explanation:
You just put the value of one variable in terms of the other in one of the two equations. Then, solve it and BOOM you'll have your solution.
x + y = -2 ........... (a)
y = x + 2 ............ (b)
Put (b) in (a),
x + (x + 2) = -2
2x = -4 => x = -2
Put x = -2 in (b),
y = x + 2 = -2+2 = 0
Thus, x=-2 and y=0
