The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept. We are given the slope m = -25 and a point (30, 450). We can use this information to find the y-intercept b and write the equation in slope-intercept form.
To find the y-intercept b, we can substitute the given point (30, 450) and the slope m = -25 into the slope-intercept form equation and solve for b:
y = mx + b
450 = (-25)(30) + b
450 = -750 + b
b = 1200
Now that we have found the y-intercept b = 1200, we can write the equation in slope-intercept form:
y = -25x + 1200
Therefore, the equation in slope-intercept form with a slope of m = -25 and passing through the point (30, 450) is y = -25x + 1200.