Answer: Slope = 5/4
y-intercept = 2
Step-by-step explanation:
We have the table:
Months, m Plant height in inches, n
0 2
2 4.5
4 7
6 9.5
We want a linear relationship to represent this table.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case we can select any pair of points, for example, i will choose the first two:
(0, 2) and (2, 4.5)
Then the slope is:
a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4
Then our line can be written as:
y = (5/4)*x + b
To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.
2 = (5/4)*0 + b
2 = b
Then our equation is:
y = (5/4)*x + 2.
Slope = 5/4
y-intercept = 2
I don’t get what your saying
Explain it for me
Step by step
To estimate, you would usually round to a significant figure
so, 20* 70=1400
The actual answer is 1521, so we know we are close
The slope of the given line is
.. (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
Then the perpendicular line will have slope
.. m = -1/(1/2) = -2
The point-slope form of your line is
.. y -3 = -2(x +4) . . . . . . . . . . if you prefer y -y0 = m(x -x0)
.. y = -2(x +4) +3 . . . . . . . . . . if you prefer y = m(x -x0) +y0 as I do.
