Final answer:
The equation of the line with a slope of 2/7 that passes through the point (-14, -10) in slope-intercept form is y = (2/7)x + b.
Step-by-step explanation:
The equation of a line with a slope of 2/7 that passes through the point (-14, -10) in slope-intercept form is y = (2/7)x + b. To find the value of b, we substitute the coordinates of the given point into the equation and solve for b. So, -10 = (2/7)(-14) + b. Solving this equation will give us the value of b, which we can then substitute back into the equation to find the final equation of the line.