Answer:
The equation is;
4y = 7x + 2
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
m = (y2-y1)/(x2-x1)
(x1,y1) = (2,3)
(x2,y2) = (-2,-4)
m = (-4-3)/(-2-2) = -7/-4 = 7/4
So we have the equation as;
y = 7x/4 + b
To
get the value of b, we will substitute any of the points (let us use 2,3)
We simply substitute 2 for x and 3 for y
We have this as:
3= 7(2)/4 + b
3 = 7/2 + b
b = 3-7/2 = -1/2
So we have the equation as;
y = 7x/4 + 1/2
multiply through by 4
4y = 7x + 2
Answer:
1 and 8 are alternate exterior
8 and 5 are corresponding
3 and 2 are vertical
6 and 3 are alternate interior
Answer:
3
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)
d = 
= 
= 
= 
= 3
← exact value
≈ 6.71 ( to 2 dec. places )
Option C:
is the right answer
Step-by-step explanation:
Given points are:
(x1,y1) = (-1,2)
(x2,y2) = (3,4)
First of all, the slope has to be found

The slope-intercept form of line is:

Putting the value of m

Putting (3,4) in equation

Putting the value of b

Hence,
Option C:
is the right answer
Keywords: Equation of line, slope
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