What is the equation for a line between the points (-1,0) and (0,5)? *
O y=24+5
O y=51+2
O y = -2x+2
O y=5x+5

y = 5x + 5

Step-by-step explanation:

Going from (-1, 0) to (0, 5), we see that x (the "run") increases by 1 and y (the "rise" increases by 5.  Thus, the slope of the line connecting the two points is m = rise / run = 5/1, or just m = 5.

Let's use the slope-intercept form of the equation of a straight line:

y = mx + b

Substituting 5 for y, 0 for x and 5 for m, we get:

5 = 5(0) + b.  Then b must be 5, and the equation of this line is

y = 5x + 5.  This agrees with the fourth answer choice.

good luck!

cutie~

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