Answer:
The equation of the line in the slope-intercept form is y = -5x + 79
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept
∵ The slope of the line is -5
∴ m = -5
∵ The form of the equation is y = m x + b
→ Substitute the values of m in the form of the equation
∴ y = -5x + b
→ To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The line passes through the point (18, -11)
∴ x = 18 and y = -11
∵ -11 = -5(18) + b
∴ -11 = -90 + b
→ Add 90 to both sides to find b
∵ -11 + 90 = -90 + 90 + b
∴ 79 = b
→ Substitute it in the equation
∴ y = -5x + 79
∴ The equation of the line in the slope-intercept form is y = -5x + 79
44% 11/25 are both the answers
Answer:
x + y = 20
1.5x + 5y = 54.50
Solve the equations and get: x = 13 ∧ y = 7
Marcy bought 13 books and 7 CDs.
Perfect square trinomial is like
(x+4)^2=x^2+8x+16
they are represented as such
ax^2+bx+c
so to solve for b you do
(√c) times 2=b so
c=9/4
square root=3/2 because 3/2 times 3/2=9/4
(√(9/4)) times 2=(3/2) times 2=6/2=3
so b=3
x^2+3x+(9/4)
if factored, it gives
(x+(3/2))(x+(3/2)) or
(x-(3/2))(x-(3/2))
if this equation is equal to 0 then x=-3/2 or 3/2
the value is 3
Answer:
slope = -1/3
y-intercept = 4
x-intercept = 12
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope and b is the y-intercept
----------------------
rearrange into slope intercept form
1.5x + 4.5y = 18
subtract 1.5x from both sides
4.5y = -1.5x + 18
Divide both sides by 4.5
y = (-1/3)x + 4
------------------------
Slope
m = -1/3
---------------------
y-intecept
b = 4
---------------------
x intercept
this is where y = 0
0= (-1/3)x + 4
add (1/3)x to both sides
(1/3)x = 4
Multiply both sides by 3
x = 12
