Question

What is the equation of a line that passes through (7, 8) and has a slope of -3?

A. y = -3x + 29

B. y = 3x + 13

C. y = (1/3)x - 29

D. y = -(1/3)x - 13

Answer 1

The equation of a line passing through a given point and having a given slope can be determined by substituting the values into the equation y = mx + b.

Step-by-step explanation:

The equation of a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. Given that the line passes through the point (7, 8) and has a slope of -3, we can substitute these values into the equation.

1. m = -3, so the equation becomes y = -3x + b.
2. Substitute the x and y values of the given point into the equation to solve for b. The point (7, 8) gives us the equation 8 = -3(7) + b.
3. Solving for b, we have 8 = -21 + b. By adding 21 to both sides of the equation, we find b = 29.