Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-
2 answers:
Answer:
y = 1/2 x -2
Step-by-step explanation:
rise/run from (-6, -5) to (-4, -4) = 1/2
(rise 1, run 2)
meaning that slope (m) = 1/2
we can now rewrite our points in y=mx + b formatting:
y = mx + b
-5 = (1/2)(-6) + b
-4 = (1/2)(-4)+b
now, let's solve for b
-5 = (1/2)(-6) + b
-5 = -3 + b
-2 = b
-4 = (1/2)(-4)+b
-4 = -2 + b
-2 = b
So, the equation for our line is y = x- 2
hope this helps!! have a lovely day :)
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Answer:
Value of k = -2
Step-by-step explanation:
Using slope intercept form:
The equation of line is given by:
y = mx+b
where, m is the slope and b is the y-intercept.
As per the statement:
The graphs of y = f(x) and y = g(x) are shown on the coordinate plane.
First find f(x):
Consider two points on y=f(x) are:
(0,-3) and (2, 1)
Formula for slope:
then;
then;
Substitute the point (0, -3) to solve for b:
⇒
∴
Similarly for g(x):
Consider two points on y = g(x) are:
(0, 6) and (2, -2)
then;
then;
then;
Substitute the points (0, 6) to solve for b:
⇒
then we get an equation:
y = g(x) = -4x+6
It is given that: If g(x) = k* f(x)
Solve for k:
⇒
on comparing both sides we have;
⇒
Divide both sides by -2 we have;
or
-3k = 6
⇒k = -2
Therefore, the value of k is, -2
Answer:
The function through which given point passes is f(x) = 24 x - 12 .
Step-by-step explanation:
Given as :
The points are
,
= 1 , 12
,
= 2 , 36
now, slope of the line
Let The slope of line = m =
Or, m =
Or, m = 24
So The slope of line = m = 24
<u>Now, equation of line in point-slope form</u>
y - = m × (x -
)
Or, y - 12 = 24 × (x - 1 )
or, y - 12 = 24 x - 24
or, y = 24 x - 24 + 12
or, y = 24 x - 12
or , f(x) = 24 x - 12
So, The function through which given point passes is f(x) = 24 x - 12 . Answer