Answer:
1. y = 1/3x + (-1)
2. y = -2/5x
3. y = 1x + 8 = 1x + 8 or y = x + 8
Explanation:
1. First of all, we need to know the slope-intercept form. The formula is y = mx + b. M represent the slope and b represents the y-intercept. So the question asked for the slope-intercept form for the slope that is 1/3 and the interception of -1. So we need figure out how to write it. It asked for -1/3 and -1 and we use the formal y = mx + b and it'll help us on figuring out how to write it. So far we have y = 1/3x + b, b is the intercept. The intercept would be -1. So the way we'd right it out is y = 1/3x + (-1). But first you have to multiply the + with -1. When we would multiply the signs you do it like this: (+) (+) = + and (-) multiplied by (-) is +. As well as (-) multiplied by (+) is -.
So for 1 the slope would be 1/3 and the (0, -1) . But we have to write it in the given form: y = mx + b ... m = slope, b = y intercept. So the way we'd right it is y = mx + b and m = slope, b = y intercept. Therefore the answer for this one is y = 1/3x - 1.
2. First we should know that we have the slope of -2/5 and the y-intercept is 0. The right form for this is y = -2/5x +. So for this one we got y = -2/5x because we said that the first one is 1/3 and -1. As well as the second is -2/5 and 0. The third is 1 and 8 as we wrote it earlier. So that's how we got our answer y = -2/5x for this question. Therefore our answer to this question is y = -2/5x.
3. For this one we first know slope = 1 and intercept =8. This equation is easier than both number 1 and 2 all we need to do is just put every given number in the right place. So we'll need to write the y as it is then add the = sign. Then write the slope which is given above. Then we have to write the x. We'll need to add the + sign and write the intercept given above next to it. After doing these steps you we'd have the answer because this is the general formula. So we would write 1 instead of m and the intercept is 8 so you need to write it instead of b. Therefore our answer would be y = 1x + 8 = 1x + 8 or another way we could write it is y = x + 8 either way would be correct.
I hope this helps, have a blessed day! :)