Question

If the slope of a line is −2 and its y-intercept is −7, the equation of the line is ______.

Options

• 2x + y + 7 = 0

• 2x − y + 7 = 0

• 2x − y − 7 = 0

• 2x + y − 7 = 0

Answer 1

If the slope of a line is −2 and its y-intercept is −7, the equation of the line is 2x + y + 7 = 0.

Explanation:

Using the slope-intercept form of a linear equation y = mx + c, with slope m = −2 and y-intercept c = −7:

y = −2x − 7

Rearranging the terms to standard form gives 2x + y + 7 = 0.