Question

1. Write the equation of the line passing through the point (2, -1) with a slope of -3.

Answer 1

Answer:

Equation of the line in slope-intercept form: $y = -3\, x + 5$.

Step-by-step explanation:

Consider the point-slope equation of a line. If $m$ is the slope of the line and $(x_0,\, y_0)$ is a point on the line, then the equation of the line will be:

$\displaystyle \frac{y - y_0}{x - x_0} = m$.

In this question,

• $m= -3$,
• $x_0 = 2$,
• $y_0 = -1$.

The point-slope equation for this line will be:

$\displaystyle \frac{y - (-1)}{x - 2} = -3$.

Simplify to get:

$y - (-1) = (-3) \, (x - 2)$.

$y + 1 = -3\, x + 6$.

$y = -3\, x + 5$.