Final answer:
To write the equation for this line in slope-intercept form, substitute the given values into the formula and solve for the y-intercept.
Step-by-step explanation:
To write an equation in slope-intercept form, we need to use the formula y = mx + b, where m is the slope and b is the y-intercept.
Given that the line passes through the point (-8,5) and has a slope of 3/2, we can substitute these values into the equation.
So, the equation of the line in slope-intercept form is y = (3/2)x + b. To find the y-intercept, we substitute the coordinates of the point (-8,5) into the equation and solve for b.
5 = (3/2)(-8) + b
5 = -12 + b
b = 17
Therefore, the equation in slope-intercept form is y = (3/2)x + 17.