Final answer:
The equation of a line that passes through the point (-4,-1) with a slope of -5/4 is y = -5/4x - 6 in slope-intercept form.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, you'll need to use the formula y = mx + b, where m is the slope and b is the y-intercept. Since we know the line passes through the point (-4,-1) and has a slope of -5/4, we can substitute these values into the formula to find b.
First, plug the point and slope into the slope-intercept equation: y = mx + b
-1 = (-5/4)(-4) + b
Solve for b
-1 = 5 + b
-6 = b
Now that we have the value for b, our final equation in slope-intercept form is
y = -5/4x - 6
This equation tells us that the line has a negative slope and crosses the y-axis at -6.