This week I learned that you can find the equation of a line without a graph only needing two order pairs or 1 ordered pair and the slope to do this you with the two pairs you simply find the slope of theses two lines then reduce or increase one of the order pairs by  the rise and run of the slope until the x variable is 0 and then now we know that the y number is the y-intercept to show the equation we use this where the m= the slope and the b= y-intercept and get this y=mx+b. the other way to do this is with 1 order pair and its slope we first start of by showing these number with this 1/2(x-3)=y-4. this is with the example slope 1/2 and ordered pair 3,4 we can then type this into desmos to show the line:

if we want to show this in slope intercept for we simply solve it to this: 1/2x-1.5=y-4. then we move the numbers on the y side to the x side which is this y=1/2x+2.5.