Question

write an equation in slope-intercept form of the line whose y-intercept is -3 and the line is perpendicular line whose equation is 3x-2y=9 what is the slope intercept form?

Answer 1

first you need to find the slope of he current equation by changing it to y=mx+b

3x-2y=9  subtract 3x from both sides

-2y=-3x+9  divide both sides by -2

y+3/2x-9/2  Your slope of the existing is 3/2 or 1 1/2

a perpendicular line has the opposite reciprocal slope so 3/2 would be -2/3

-3 is your y intercept. now you can make your equation

y=-2/3x-3