Choose the point-slope form and f the equation below that represents the line through the point (6,-3) and has a slope of 1/2

The point-slope form of this equation would be y + 3 = 1/2(x - 6)

Step-by-step explanation:

In order to find this, start with the base form of point-slope form.

y - y1 = m(x - x1)

Now input the slope for m and the point for (x1, y1)

y - -3 = 1/2(x - 6)

y + 3 = 1/2(x - 6)

y+3= 1/2(x-6)

Step-by-step explanation:

y-y₁ = m(x-x₁) is point-slope form of equation of line where m is slope and (x₁,y₁) is a point that passes through the line .

From question statement,we observe that

Slope and a point is given.

Hence, m = 1/2 and (x₁,y₁) = (6,-3)

Putting above values in formula,we get

y - (-3) = 1/2(x-6)

y+3= 1/2(x-6) is point-slope form of equation that passes through a point (6,-3)  and has a slope equals to 1/2.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75