Write an equation of the line that passes through the given point and has the given slope. (6, 4); slope -3/4

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 :)

step-by-step explanation: