Which equation in point-slope form gives the plant's height at any time. (x,y) (3,21) (5,35) (7,49) (9,63)
Please Help!
assuming that the slope is constant (you should check), m = (35-21)/(5-3) = 14/2 = 7
So, pick any point, say (3,21) you get
y-21 = 7(x-3)
What about y= - 2/3 x + 7 in standard form using integers
Huh? Did you listen to yourself?
Not even close!
y-21 = 7(x-3)
y-21 = 7x-21
y = 7x
And besides, they asked for point-slope form.
bro ummm I was asking you that was a different question.........
write y-21 = 7(x-3) in standard form using integers
Well, first you need to note that Standard Form is
Ax+By = C
So,
y-21 = 7(x-3)
y=7x
7x - y = 0
y= - 2/3 x + 7
3y = -2x + 21
2x + 3y = 21
To find the equation in point-slope form that gives the plant's height at any time, we can use the formula:
y - y₁ = m(x - x₁)
where (x₁, y₁) is a point on the line, and m is the slope of the line.
First, we need to find the slope (m). The slope can be calculated using any two given points (x₁, y₁) and (x₂, y₂) using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Let's use the points (3, 21) and (5, 35) to find the slope:
m = (35 - 21) / (5 - 3) = 14 / 2 = 7
Now that we have the slope (m), we can use one of the given points and the slope in the point-slope form equation to find the equation:
Using the point (3, 21):
y - 21 = 7(x - 3)
Simplifying the equation gives:
y - 21 = 7x - 21
Now, we can simplify further to put it in slope-intercept form, y = mx + b. We add 21 to both sides:
y = 7x - 21 + 21
Simplifying again:
y = 7x
Therefore, the equation in point-slope form that gives the plant's height at any time is y - 21 = 7(x - 3).