Answer:
y=-3/4x+17/2
Step-by-step explanation:
the equation for slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
since we know the slope of the line, we can substitute it into the equation
y=-3/4x+b
we need to find b though.
since the equation will pass through the point (6,4) that means that if we plug it into the equation, it'll be a true statement; in this case, we can use it to solve for b.
substitute (6,4) into the equation
4=-3/4(6)+b
multiply
4=-9/2+b
17/2=b
the y intercept is 17/2
therefore the equation of the line is y=-3/4x+17/2
hope this helps :)
