A line has slope 2/3 and y–intercept -2. Which answer is the equation of the line
y = -2x + 23
y = 2x + 23
y = (2/3x) + 2
y = (2/3)x - 2

Solution:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, slope of the line is 2/3

y-intercept is -2.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

c is the y-intercept.

y = (2/3)x - 2

Therefore, the equation of the line is y = (2/3)x - 2.

Example:

A line has slope 1/3 and y-intercept 1. Which answer is the equation of the line?

Solution:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, slope of the line is 1/3

y-intercept is 1.

The equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope

c is the y-intercept.

y = (1/3)x + 1

Therefore, the equation of the line is y = (1/3)x + 1.

A line has slope 2/3 and y–intercept -2. Which answer is the equation of the line?

Summary:

A line has a slope of 2/3 and y–intercept -2. The equation of the line is y = (2/3)x - 2.