Write the equation of the line passing through (-2,5) and (1,-4) in point slope form then rewrite in slope intercept form Procedure
Equation
Given
1 point (-2,5)
20 point (1.4)
(x1, y1)
(x2, y2)
Determine the slope
Ay Y2 - y
X₂ - x,
Ay
Δx
=
-1
-4
1
5
Ay
Ax
=
-2
Point -Slope From
y - y = m (x - x)
Slope
Point L )
Choose a point given
Plug in slope and point given
Point Slope From
Addition property of Equality
Distributive Property
Combine Like terms
Slope Intercept form

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

0,0

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places