Answer:
y = -7/2x - 19
Explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. We are given the slope of the line (-7/2) and a point that the line passes through (-4, -5).
We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Where (x1, y1) is the given point and m is the slope.
Substituting the given values, we get:
y - (-5) = (-7/2)(x - (-4))
Simplifying:
y + 5 = (-7/2)(x + 4)
Distributing the slope:
y + 5 = (-7/2)x - 14
Subtracting 5 from both sides:
y = -7/2x - 19