#### Find the equation of the tangent line to the graph

## How do you find the equation of a line?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

## How do you find the tangent equation?

In order to find the equation of a tangent, we:Differentiate the equation of the curve.Substitute the value into the differentiated equation to find the gradient.Substitute the value into the original equation of the curve to find the y-coordinate.Substitute your point on the line and the gradient into.

## How do I find the slope of the line?

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

## Is the slope of a tangent line the derivative?

The derivative of a function gives us the slope of the line tangent to the function at any point on the graph. This can be used to find the equation of that tangent line.

## What’s the tangent?

more In a right angled triangle, the tangent of an angle is: The length of the side opposite the angle divided by the length of the adjacent side. The abbreviation is tan.

## How do you write an equation for a line on a graph?

The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b). When you know the slope and the y-intercept of a line you can use the slope-intercept form to immediately write the equation of that line.

## How do you graph a line from an equation?

To graph a linear equation, we can use the slope and y-intercept.Locate the y-intercept on the graph and plot the point.From this point, use the slope to find a second point and plot it.Draw the line that connects the two points.