Question

Write the equation of the line, in slope-intercept form, that contains the points (-1, -2) and (1, 2). Use the box provided or the upload option to submit all of your calculations and final answer.

Answer 1

Answer: y=1/2(x)
step by step solution: you are give two points (-1,-2) and (1,2) so we can go ahead and set up our equation in slope-intercept form which is y=mx+b. m is equal to slope so we are going to find the slope first in order to do this we take both of the points given and see how much the rise over run is. (-1,-2) and (1,2) so to go from the first point to the second point you have to rise 2 units and you have to go over 4 units, this means that our rise over run or (slope) is equal to 2/4 but we are gonna simplify this down to 1/2. now we will plug this in to the equation we have set up the outline for. slope is (m) so plug in 1/2 for (m). y=1/2(x)+b. the next step is to find the y-intercept which (b) represents in this equation. in order to find the y-intercept you simply plug in (0) for (x) and solve to find (b). y=1/2(0)+b after you work this out you see that you are left with 0=b so this means that the y-intercept is 0 this means that you don't have to have the +(0) where (b) would be located. therefore your left with the equation y=1/2x. this is your final answer. hope I helped. have a great day!