To provide the best experiences, we use technologies like cookies to store and/or access device information. Consenting to these technologies will allow us to process data such as browsing behavior or unique IDs on this site. Not consenting or withdrawing consent, may adversely affect certain features and functions.
The technical storage or access is strictly necessary for the legitimate purpose of enabling the use of a specific service explicitly requested by the subscriber or user, or for the sole purpose of carrying out the transmission of a communication over an electronic communications network.
The technical storage or access is necessary for the legitimate purpose of storing preferences that are not requested by the subscriber or user.
The technical storage or access that is used exclusively for statistical purposes.
The technical storage or access that is used exclusively for anonymous statistical purposes. Without a subpoena, voluntary compliance on the part of your Internet Service Provider, or additional records from a third party, information stored or retrieved for this purpose alone cannot usually be used to identify you.
The technical storage or access is required to create user profiles to send advertising, or to track the user on a website or across several websites for similar marketing purposes.
3 Responses
Don’t overthink it: slope m = (−1−4)/(2−(−3)) = −1; plug a point into y = mx + b (say (2, −1)) to get b = 1, so the line is y = −x + 1. Think of it like stairs-go right 1, you go down 1-slope −1; quick refresher: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-lines/v/writing-equations-of-lines-given-two-points
You’re on the right track-both y = mx + b and point–slope are your friends here! First grab the slope from the two points: m = (−1 − 4) / (2 − (−3)) = −5/5 = −1, so the line drops 1 for every step right. Now use point–slope with either point, say (2, −1): y − (−1) = −1(x − 2), so y + 1 = −x + 2, which simplifies to y = −x + 1. Using (−3, 4) gives the same thing: y − 4 = −1(x + 3) → y = −x + 1-nice consistency check. If you like sanity checks, plug in the points: at x = 2, y = −2 + 1 = −1; at x = −3, y = 3 + 1 = 4. Tiny analogy time: imagine walking down a staircase that drops one step for every step forward; if you stand right at x = 0, you’re perched at y = 1-so the line’s equation is y = −x + 1.
Compute the slope m = (−1 − 4)/(2 − (−3)) = −5/5 = −1, then use point–slope: y − 4 = −1(x + 3) ⇒ y = −x + 1.
Think of it as a ramp dropping one unit for each step right, crossing the y-axis at 1; quick review: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/xb8d8f9e48a8b31d6:writing-linear-equations/a/writing-linear-equations-using-two-points.