To find a point on a line and the slope of that line, you first need the equation of the line. Typically, the equation is in the form of y = mx + b, where m represents the slope and b is the y-intercept.
For instance, if you have the equation y = 2x + 3, the slope of the line is 2 (which means that for every unit you move to the right on the x-axis, you move up 2 units on the y-axis). To find a point on the line, you can choose any value for x, and then calculate y.
Let’s say you choose x = 1. Plugging this value into the equation gives:
y = 2(1) + 3
y = 2 + 3
y = 5So, when x = 1, y = 5. This means that the point (1, 5) is on the line.
To summarize, the slope of the line is 2, and a point on the line is (1, 5).