We have been given that a line 
passes through the point (10, 3) and is parallel to the line 
. We are asked to find the y-intercept of the line.
First of all we will rewrite our given equation in slope-intercept form as:
We know that slope of parallel lines is equal, so slope of parallel line to our given line would be 
.
Now we will use slope-intercept form of equation to find y-intercept.
, where,
m = Slope,
b = The y-intercept.
Let us substitute 
and coordinates of point 
in above equation as:
Therefore, the y-intercept is 7 and our required equation would be 
.
-4(n - 6) = 12
n - 6 = -12/4 divide both sides by -4
n - 6 = -3
n = -3 + 6 add both sides by 6
n = 3
hope that helps, God bless!
L=6w would be an equation for the length of a rectangle that is 6 times the width
Answer:
y-4 = (-1/3)(x+1)
Step-by-step explanation:
We need to identify the equation in point slope form.
The standard equation of point slope form is:
(y-y₁) = m (x-x₁)
where m is the slope and x₁ and y₁ are the points
We are given point(4,-1) so,
x₁=4 and y₁=-1
And a perpendicular line: y =3x+5
Which is equal to y = mx+b
where m is slope so, slope m = 3
Since the line is perpendicular, so the slope in negative inverse of actual slope that m = -1/m
i.e, m = -1/3
So, the equation in point slope form is:
y-(-1) = (-1/3)(x-4)
=> y+1 = (-1/3)(x-4)
