# 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.

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