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-
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Answer:
(6x-1)(x+2)
Step-by-step explanation:
6x^2 = (6x (x
(6x -1)(x+2)
6x * x = 6x^2
6x * 2 = 12x - 1x = 11x
-1*2 = -2
6x^2 + 11x - 2
Answer:
The linear function is
.
Step-by-step explanation:
A linear function is given by the formula,
, where m is the slope and c is the y intercept of function.
The following two points lie on the graph; (0,-1) and (3,-10)
Inserting this two points we get,

,
solving this two equations we get,
m = -3 and c= -1
Thus, the linear function is given by,

2 1/5* 4
= (11/5) * 4
= 44/5
= (40+ 4)/5
= 40/5+ 4/5
= 8+ 4/5
= 8 4/5
The final answer is 8 4/5~
C probably because a numerical expression uses numbers and does not have any equal signs at the end and it seems like the best answer