Final answer:
The equation of the line that passes through the point (-5, 4) with a slope of -3 is y = -3x - 11.
Step-by-step explanation:
To find the equation of the line that passes through the point (-5, 4) with a slope of -3, you can use the point-slope form of a line equation: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.
First, substitute the given point and slope into the point-slope formula:
y - 4 = -3(x - (-5))
Then simplify the equation:
y - 4 = -3(x + 5)
y - 4 = -3x - 15
Add 4 to both sides of the equation to solve for y:
y = -3x - 11
Now the equation of the line is y = -3x - 11, which is in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.