What is the slope of the line that passed through the points (8,6) and (-2, 10)
1 answer:
You might be interested in
The image relating to the question can be found in the picture attached below.
Answer:
y - intercept = 0
Slope of line = 2.86
Step-by-step explanation:
THE y-intercept is the point on the y - axis where the line crosses the y - axis. The y-intercept of the graph is 0.
The slope of the line is the ratio of change in the y-axis to the x - axis.
Gradient / slope = Δy / Δx = (y2 - y1) / (x2 - x1)
Drawing a right angle triangle at any point on to meet the line of best fit :
y2 = 35, y1 = 15, x2 = 12, x1 = 5
Slope = (y2 - y1) / (x2 - x1) = (35 - 15) / (12 - 5)
Slope = 20 / 7 = 2.857
Slope = 2.86
We could use the formula, derive the formula, or just work it out for this case. Let's do the latter.
The distance of a point to a line is the length of the perpendicular from the line to the point.
So we need the perpendicular to 5x-4y=10 through (-1,3). To get the perpendicular family we swap x and y coefficients, negating one. We get the constant straightforwardly from the point we're going through:
4x + 5y = 4(-1)+5(3) = 11
Those lines meet at the foot of the perpendicular, which is what we're after.
4x + 5y = 11
5 x - 4y = 10
We eliminate y by multiplying the first by four, the second by five and adding.
16x + 20y = 44
25x - 20y = 50
41x = 94
x = 94/41
y = (11 - 4x)/5 = 15/41
We want the distance from (-1,3) to (94/41,15/41)
Assumed
PW as 100
FW as twice PW as 200
answer is 7.27254 years
manually take the log of both sides and solve for n
PW as 100
FW as twice PW as 200
answer is 7.27254 years
manually take the log of both sides and solve for n