Final answer:
To find the equation of a line that passes through a given point with a given slope, we can use the point-slope formula. In this case, the equation of the line is y = -5/8x - 19/8.
Step-by-step explanation:
To find the equation of a line that passes through a given point with a given slope, we can use the point-slope formula:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the given slope. In this case, the point is (1, -3) and the slope is -5/8. Plugging these values into the formula, we get:
y - (-3) = -5/8(x - 1)
y + 3 = -5/8x + 5/8
y = -5/8x + 5/8 - 3
y = -5/8x + 5/8 - 24/8
y = -5/8x - 19/8
So, the equation of the line that passes through the point (1, -3) with a slope of -5/8 is y = -5/8x - 19/8.