Which equation in point-slope form gives the plants height at any time
Time (months) | Plant Height (cm)
2 | 16
4 | 32
6 | 48
8 | 64
° y - 16 = 8( x - 2 )
° y - 16 = 8x - 2
° y + 16 = 8( x + 2 )
° the relationship is nonlinear ***
Check my work plz
???? Confusion ???? Can't wait till school is over ☠️☠️☠️
2 | 16 = 8*2
4 | 32 = 8*4
6 | 48 = 8*6
8 | 64 = 8*8
y = 8x <----- the function which generates your data, according to this data, the relation is linear,
Look at your choice of answer
y - 16 = 8(x - 2)
y - 16 = 8x - 16
y = 8x
a sneaky way to give you the correct choice.
want me to rig 155 views or more
done
i ment how did you do that
the 1st one looks good
To determine which equation in point-slope form gives the plant's height at any time, we can utilize the given data points and the formula for point-slope form, which is:
y - y₁ = m(x - x₁)
where (x₁, y₁) represents a point on the line and m is the slope.
Let's go through the options one by one:
1. y - 16 = 8(x - 2)
By comparing this equation to the point-slope form, we can see that (x₁, y₁) = (2, 16) and the slope, m, is 8. So this equation satisfies the conditions.
2. y - 16 = 8x - 2
Here, the right-hand side should have the term (x - x₁), but it has a constant term (-2) instead. Therefore, this equation does not represent the point-slope form.
3. y + 16 = 8(x + 2)
Similar to the previous equation, this equation does not match the form y - y₁ = m(x - x₁). Therefore, it does not represent the point-slope form needed for this problem.
4. The relationship is nonlinear.
This option states that the relationship between time and plant height is not linear. However, since we are looking for an equation in point-slope form, this option does not provide the desired equation.
Based on the analysis above, the correct equation in point-slope form is:
y - 16 = 8(x - 2)
Please note that this equation represents a linear relationship between time and plant height, not a nonlinear one.