Question

What information does the point-slope form of a linear equation reveal about a line?

a) "Slope and a point on the line"
b) "The x-intercept"
c) "The y-intercept"
d) "The slope and y-intercept"

Answer 1

The point-slope form of a linear equation reveals the slope and a point on the line.

Step-by-step explanation:

The point-slope form of a linear equation, y = mx + b, reveals both the slope and a point on the line. In this form, m represents the slope and (x, y) represents a point on the line. The slope describes how steep or shallow the line is, while the point provides a specific location on the line.

For example, in the equation y = 2x + 3, the slope is 2 and the point (0, 3) lies on the line. This information tells us that the line has a slope of 2 and passes through the point (0, 3).