Question

Write the equation of the line that passes through the point (2, -1) and has a slope of -3.

Answer 1

Answer:

The equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

• y = -3x + 5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

• m is the slope

• b is the y-intercept

Given

• The point (2, -1)

• Slope m = -3

substituting m = -3 and the point (2, -1) in the slope-intercept form of the line equation

y = mx+b

-1 = -3(2)+b

-1 = -6 + b

b = -1 + 6

b = 5

Thus, the y-intercept form of the line equation is b = 5

now substituting b = 5 and m = -3 in the slope-intercept form of the line equation

y = mx+b

y = -3x + 5

Thus, the equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

• y = -3x + 5