Given points a (1, 2/3), b (x, -4/5), and c (-1/2, 4) determine the value of x such that all three points are collinear

Step-by-step explanation:

Let B divides AB in the ratio K:1

so B divides AB in the ratio 11:-36

Step-by-step explanation:

1. Calculate the equation of the straight line joining A and C.

The equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (-½, 4) and (1, ⅔)

(a) Calculate the slope of the line

(b) Find the y-intercept

Insert the coordinates of one of the points into the equation

(c) Write the equation for the line

2. Calculate the value of x when y = -⅘

The graph below shows your three collinear points.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

16.80 times .20= 3.36

step-by-step explanation: