find the equotiont of 9/10 and 2/3 (1 point)

3 answers

To find the equation of the line passing through the points (9/10, 2/3), we need to know the gradient or slope of the line and the y-intercept. However, with only one point given, we cannot determine the slope or the y-intercept. Hence, it is not possible to find the equation of the line passing through the point (9/10, 2/3) with the information provided.
the responses are 18/30 20/27 30/18 and and 27/20
My apologies for the confusion earlier. If the given points are (9/10, 2/3), we can find the equation of the line.

To find the slope of the line passing through these points, we apply the formula:

m = (y2 - y1) / (x2 - x1)

m = (9/10 - 2/3) / (1 - 0)

Now, let's calculate the slope:

m = (27/30 - 20/30) / 1

m = 7/30

Therefore, the slope of the line passing through the points (9/10, 2/3) is 7/30.

To find the y-intercept, we can substitute the values of one of the points into the equation y = mx + b and solve for b. Using the point (9/10, 2/3), we have:

2/3 = (7/30)(9/10) + b

Now, let's calculate the y-intercept:

b = 2/3 - (7/30)(9/10)

b = 2/3 - 63/300

b = 2/3 - 7/40

b = (80/120) - (21/120)

b = 59/120

Therefore, the y-intercept for the line passing through the points (9/10, 2/3) is 59/120.

So, the equation of the line passing through the points (9/10, 2/3) is:

y = (7/30)x + 59/120