All right, so with this question, it's an application exercise. So we're given the number of highway fatalities in the United States. Involvement, distracted driving. We're showing a bar graph and a scatter plot. Um, this is a two part question, so we'll solve each of them individually. Yeah, So the first part is asking us to use two data points to find the number of highway fatalities involved. Instructor driving after the year 2000 and four. For this. We need to know the slope intercept form. We will use the point slope form in order to get to the slope intercept form. And we will use ourselves. So we need to find ourselves first in order to figure out our equation. So we're given two points. Yeah. 0.1 is one 4571 0.2 is or 5870. Okay, so now we know that we need to use We need to find ourselves intercept form, but we don't know our soap. And our slope, we remember, is an equals, uh, two points. You need y tu minus y one over X two minus X boy. So now what is my y two x two y one or x one. So these these each point has an X and Y values. So this would be X Y. This is X two. This is why one. And this is why two. So now we simply pill again. I'm just going to continue on this direction. So you say M equals 5000 170 minus or why one over our X two minus R X one. Okay. And you simply just solve it through how to be 1299 over three. And that is equal to 433. So our slope is the highway, so it's 433 highway fatalities each year I'm given by the slope. Okay, So in order to get to our slope intercept form, we first need to use the slow the point slope form to find the wires up. Because we don't know our why intercept yet to our grand equation? Why equals and my exclusive B We saw this one, but we still need this one. Right? So that's our winners up. Yeah. Okay. So yeah. Excuse me. Mm. So my point. So forum is okay. Yeah, yeah, Yeah. Why? Minus why one equals mm. X minus X one. Yeah. So this might look familiar. You know why one explain these are the same as mhm. Ah, X 111 on the slope and on our first point. Excuse me. Yeah. Yeah. Okay. So I simply plug in since I know where my x one and y one r, I think we go on. Okay. Why? Minus or 1005 171 equals RM. Slope, which is 433 equals X minus. Yes. One. Okay. And then we simplify it. We want to distribute or 433 with this, um, and then bring our $4000 anyone over to our right side? Mhm tell Because why? 400 33 x minus 433 plus 2571. Yeah. Yeah. And so my equation becomes y equals 433 x plus 400 4100. The 38. So see if this comes out in our slope. Intercept form. Excuse me. Yeah. So this is the linear equation that models the highway fatalities per year. And now we're asked to find, uh, predict the fatalities in 2014. So since we know this is per year, we can use this to protect what will happen in the future for the second part of this question. So, yeah. So from 2004 2 2014 is between those two numbers is 10 years. Yeah, so that would equal X. That is what will go into our place of our equation and the X variable simply. I will go. Why equals 433 mhm, 10 times years plus. And this is just my units. It's important to keep over their units and and you multiply 433 times time we get, and then you add the 4138. So we get why equals 4000 6468. And that is fatalities predicted in the year 2014. Given the data, um, gathered up, uh, start in 2004. So this is a way that you can use a linear equation to predict the future, given data that you've already collected. All right? Yeah. Okay.