Writing an equation given the slope and x intercept

so let's go with the question number two so question number two says now rather than having something simple like this now i'm going to give you something with a slope i'm going to give you a slope of three-fifths and a x-intercept equal to negative 10. all right so again what we want to do is a ballina is write y equals mx plus b do we know what b is now no because we're talking about x-intercepts not y-intercepts right but we do know the slope so let's plug that in y equals the slope okay now do you guys remember when i said find the x-intercept what did y equal zero so if i plug in zero if i plug in 0 in for y and negative 10 in for x can i now solve for b yeah and once i know what b is in slope can i write the equation of the line zero equals three fifths times negative 10 plus b then you well yeah you solve so 10 times three-fifths um negative 10 times 3 is negative 30 negative 30 divided by 5 is negative 6. okay we'll work through it so now you add the 6 to the other side and you get 6 equals b so now let's look at it do we know what slope is yes do we know what b is yes so going back to that 30 second problem we did before y equals three fifths x plus six yes okay what'd you do that's probably fine too i mean i would just caution you just make sure you know how to do it algebraically because you might get answer or you might get a problem that might be hard to look at graphically so as long as you understand this and you can do it that way but that way it makes sense so you can do it that way that's fine but you are going to have to make sure you can show it to me how you're finding the solution to it yes okay so first of all jacob do you understand how x-intercept y equals zero do you remember that when we graphed it right exactly so therefore i put 0 in for y and i put negative 10 in for x now most students get for get caught up on the fractions how do you multiply net three-fifths times negative ten well remember right you put over one and you multiply across what's negative 30 divided by five negative six that's where it came from all right i'm adding six i just got a really bad six is it elena you got it kind of all right we got to that one uh negative six