Question

please help i have 5 problems that i need to write an equation for in slope intercept form (y=mx+b) for the line that satisfies each set of this condition
1- slope 1/2 passes through (6,4)
2- slope of -2 and passing through the point
(-1,-2)
3- passing through the points (6,8) and (9,6)
4- passing through the points (2,3) and (4.9)
5- slope of -2/3 and passing through point (6,-1)

If you can help I would loooove it :)

Answer 1

1. You know the slope and you know two points. Use y=mx+b to find the equation of the line. Plug in x=6 and y=4 and m=1/2 into the equation y=mx+b, then find b. When you have b, you can put it into y=mx+b and there is your equation.

4=(1/2)(6)+b solve for b, then

y=(1/2)x+b