Answer:
The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the line
3x - 4y = 7
writing in the slope-intercept form
4y = 3x - 7
dividing both sides by 4
4y/4 = 3/4x - 7/4
y = 3/4x - 7/4
Now, comparing with the slope-intercept form of the line equation
y = 3/4x - 7/4
The slope of the line m = 3/4
We know that parallel lines have the same slopes.
Therefore, the slope of the parallel line is: 3/4
now we have,
The point (-4, -2)
The slope m of parallel line = 3/4
Given the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting (-4, -2) and m = 3/4 in the point-slope form of line equation


Thus, the equation in the point-slope form of the line equation is:

Simplifying the equation

Subtract 3 from both sides


Multiplying the equation by 4


Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Answer:
1641885
Step-by-step explanation:
All you gotta do is subtract both of the numbers to get how much you need.
93 - 75 = 18
We can double check to see if it's right by using addition
18 + 75 = 93
Sonny needs to borrow 18$ to meet his required amount :D
Answer:
p is (3.71, 6.71)
Step-by-step explanation:
Given that p is at the distance of 3/4 from A to B
it mean that point p divides the line AB into 3:4 ratio.
and
if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then
coordinates of point p (x,y) is given
p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )
________________________________________________
Given the points AB
A(2,5)
B(6,9)
m:n = 3:4
thus,
p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )
p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )
p (x = (26/7 , y = 47/7 )
P ( x = 3.71, y = 6.71)
Thus, coordinates of point p is (3.71, 6.71) which is at 3/4 of the distance from A to B for A(2,5) and B(6,9)/
Answer:
53/12
Step-by-step explanation: