Question

2) Which variables represent the slope and y-intercept in slope-intercept form?

Answer 1

Answer:

The variable that represent the slope is 'm' and the variable that represent the y-intercept is 'b'.

Step-by-step explanation:

The equation of a line in slope-intercept form is given as:

$y=mx+b$

Here, the variable 'm' is the coefficient of independent variable 'x' and represents the slope of the line.

The constant term in the given equation is 'b' and it represents the y-intercept of the given line.

Slope is defined as the ratio of rise or fall over run. In other words, slope is the ratio of change in value of 'y' with change in value of 'x'.

Slope is positive if change in 'y' is positive with increasing 'x' and it is negative if change in 'y' is negative with increasing 'x'.

y-intercept is the point where the line crosses the y-axis. So, the 'y' value of that point is y-intercept. The coordinates of the point is given as (0, b).

So, the variable used for the slope is 'm' and 'b' is used for y-intercept.