Question

Suppose you know that a line passes through the point (0, 1). Its slope is 1. Find another point on the line.

Answer 1

Answer:

Step-by-step explanation:

Let's find the equation of the line first then we can determine a thousand points on the line if you want!! : )

If the line goes through x = 0 and y = 1 with a slope of 1, we can write the equation as

y - 1 = 1(x - 0) and

y - 1 = 1x and

y = x + 1

That's the equation.  Now let's find y when x = 1:

y = 1 + 1 so

y = 2 and (1, 2) is another point on the line.  If x = 3:

y = 3 + 1 so

y = 4 and (3, 4) is another point on the line.

You could go on into eternity like this.