Answer:
y = -1/2x + 6
Step-by-step explanation:
Find the slope
( 5 , 2) ( -3 , 6)
m =( y2 - y1 )/ ( x2 - x1)
x1 = 5
y1 = 2
x2 = -3
y2 = 6
m = ( 6 -2)/(-3 - 5)
m = 4/-8
m = - 1/2
Substitute m into the equation of a line
y = mx + c.
y = -1/2x + c
Substitute any of the two points given into the equation
Let's pick (2 ,5)
x = 2
y = 5
y = -1/2x + c
5 = -1/2(2) + c
5 = -1*2/2 + c
5 = -2/2 + c
5 = -1 + c
c = 5 + 1
c = 6
y = -1/2x + 6
The equation of the line is
y = -1/2x + 6
Answer:
We can tell by the graph that it has a positive slope. The
y-intercept is at positive 4. Trying to find the next whole number intercept point will be at (-2,0). Count up and over from that point to the y-intercept point, and put it in rise over run form... 5/2 (up 5, over 2). Now apply these known variables into the slope intercept form: y = mx + b.
The final answer is: y = (5/2)x + 5
M is the slope and B is the y-intercept.
Answer:
x = 13
Step-by-step explanation:
54 divided by (13 + 5) = 3
Answer:
x = - 4, x = 0, x = 1
Step-by-step explanation:
To find the zeros equate p(x) to zero, that is
3x³ + 9x² - 12x = 0 ← divide through by 3
x³ + 3x² - 4x = 0 ← factor out x from each term
x(x² + 3x - 4) = 0
x(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
Answer:
coordinates will be (1/2 , -5)
Step-by-step explanation:
when x=4
y= -2(4)+3
y = -8 +3
y = -5
when y=2
2 = - 2x + 3
2-3 = -2x
-1 = -2x
1=2x
x = 1/2
