Final answer:
To find the equation of a line with a given slope and a point, you can use the point-slope form of a linear equation. In this case, the equation is y = 5/7x + 23/7.
Step-by-step explanation:
To find the equation of a line with a given slope and a point, you can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. In this case, the given point is (-6, -1) and the slope is 5/7. Plugging in these values into the formula, we get:
y - (-1) = 5/7(x - (-6))
y + 1 = 5/7(x + 6)
y + 1 = 5/7x + 30/7
y = 5/7x + 30/7 - 1
y = 5/7x + 30/7 - 7/7
y = 5/7x + 23/7