The equation of the line that passes through the point (-4 , 3) with slope ₋2 is:
y = ₋2x ₋ 5
Given the points are (₋4 , ₋3) and (4 , 1)
The gradient of the line through the points' locations (x₁ , y₁) and (x₂ , y₂) is: y₂ ₋ y₁/x₂ ₋ x₁
Substitute the given points in the above formula:
=1 ₋(₋3)/4 ₋ (₋4)
=4/8
=1/2
If the product of the slopes of two perpendicular lines is -1, then the slope of the perpendicular line is ₋1/1/2 = ₋2
Therefore the line that passes through the point (-4 , 3) with slope ₋2 has equation:
y ₋ 3 = ₋2(x ₊ 4)
y = ₋2x ₋ 8 ₊ 3
y = ₋2x ₋ 5
Hence we get the expression as y = ₋2x ₋ 5
Learn more about "intercept forms" here-
brainly.com/question/6202710
#SPJ10
Answer:
6
Step-by-step explanation:
The answer would be positive if all 3 signs were the same. Yes, the product of two integers with the same sign will be positive, but that goes for any number of integers as long as they still have the same sign.
I believe the length of Paul's model is C, 13/6 feet
Answer:
(-3,-2)
Step-by-step explanation:
2x-5y=4
3x-7y=5
solve the equation
x=2+5/2y
3x-7y=5
substitute the value of x into an equation
3(2+5/2y)-7y=5
multiply 3 to 2. and. 3 to 5/2y
6+15/2y-7y=5
minus 6 to 5 and. add 15/2y to -7y
-1/2y=1
divide both sides by -1/2
y= -2
substitute the value of -2 into an equation
x=2+5/2•(-2)
multiply 5/2 to -2
x=2+-5
add but since 5 is negative then subtract the numbers
x= -3
combine y= -2 and x= -3 as a point
So the answer is (-3,-2)
