Question

When y^3 is plotted against x, a straight linegraph is obtained, passing through the points (1,5) and (6,15). find y in terms of x

Answer 1

The equation of the straight line graph is y = mx + c. By using the points (1,5) and (6,15), we can determine the slope and y-intercept to find the equation of the line.

Step-by-step explanation:

The equation of the straight line graph is y = mx + c, where m is the slope of the line and c is the y-intercept. Using the points (1,5) and (6,15) given in the question, we can determine the values of m and c.

First, we calculate the slope (m) using the formula:

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

Using the points (1,5) and (6,15):

m = (15 - 5) / (6 - 1) = 2

Now, we can substitute the value of m into the equation y = mx + c and use either of the given points to find c:

5 = 2(1) + c

c = 5 - 2 = 3

Therefore, the equation of the line is y = 2x + 3.