Question

The point (21, 32) is on a line with the slope 1.5 . find the coordinates of another point on the line.​

Answer 1

(2,3.5)

Explanation:

To find another point on the line with the slope 1.5 and the point (21, 32), we can use the following equation:

`\boxed{\boxed{\sf y = mx + b }}`

where:

• y is the y-coordinate of the point we are looking for
• m is the slope of the line, which is 1.5
• x is the x-coordinate of the point we are looking for
• b is the y-intercept of the line

We can solve for `b` by substituting the known values into the equation:

32 = 1.5 * 21 + b

32 = 31.5 + b

b = 32 - 31.5

b = 0.5

Now that we know the value of b, we can find the y-coordinate of another point on the line by substituting an x-coordinate into the equation:

y = 1.5x + 0.5

For example, if we substitute x = 2, we get the following y-coordinate:

y = 1.5 × 2 + 0.5

y = 3 + 0.5

y = 3.5

Therefore, another point on the line is (2,3.5).

Note:

We can find infinite number of coordinates by substituting any value of x and solving for y.