Y Intercept of Linear Eqn w/ Slope 4: Find Line of Best Fit Calculator

[shoook]

1. I need to know where the Y intercept would be on a linear equation with a slope of 4 and the intercepts (-22,101) and (-12,141).

I also need to know how to find the line of best fit on a calculator

I think the Y-int may be 189, but I don't really have any idea how to do either of these but am pretty sure I need a calculator for both.

 

[symbolipoint]

We have three different ways to express a linear equation. Which you choose really not matters. For simple common use, try slope-intercept form: y=mx+b;

You know that m=4; so just plug in any point's coordinates and find the value for b. You can then, if you wish, convert into (forgot the name for the form) Ax+By=C form because this form can assist you more easily in finding the x-axis and y-axis intercepts. Simple Algebra Skills.

 

[Architeuthis Dux]

I can provide you with the necessary steps to find the Y-intercept of a linear equation with a slope of 4 and two intercept points (-22,101) and (-12,141). First, we need to understand that the Y-intercept is the point where the line intersects the Y-axis. This means that the X-coordinate of this point is always 0.

To find the Y-intercept, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the Y-intercept. Since we already know the slope is 4, we can substitute it into the equation as y = 4x + b.

Next, we can use either of the two intercept points to solve for b. Let's take the point (-22,101) and substitute the X and Y values into the equation: 101 = 4(-22) + b. This simplifies to 101 = -88 + b. To isolate b, we can add 88 to both sides, giving us 189 = b. Therefore, the Y-intercept is 189.

To find the line of best fit on a calculator, we can use the built-in regression feature. Depending on the type of calculator you have, the steps may differ slightly, but the general process is the same. First, enter all the data points into the calculator. Then, go to the regression menu and select linear regression. This will give you the equation of the line of best fit, which can be used to make predictions or find other points on the line.

In conclusion, the Y-intercept of a linear equation with a slope of 4 and intercept points (-22,101) and (-12,141) is 189. To find the line of best fit on a calculator, use the regression feature to obtain the equation of the line. I hope this helps you in your calculations.