 LF 11: Converting From Point Slope to Slope Intercept Form - MathOps | writing equations in slope intercept form from graph worksheet

# What Will Writing Equations In Slope Intercept Form From Graph Worksheet Be Like In The Next 11 Years? | Writing Equations In Slope Intercept Form From Graph Worksheet

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Find the blueprint of the band departure to the blueprint of {eq}displaystyle y=6e^x {/eq} at {eq}displaystyle x=2. {/eq}

In adjustment to address an blueprint for a line, we charge apperceive the abruptness of the band and a point that it passes through. If the abruptness of a band is {eq}m {/eq} and it passes through the point {eq}(x_1,y_1) {/eq}, again an blueprint for the band in point-slope anatomy is

{eq}y-y_1=m(x-x_1) {/eq}

Given a action {eq}y=f(x) {/eq} and the {eq}x {/eq}-coordinate of a point of tangency, we can acquisition both of these things in adjustment to address an blueprint for the departure line.

If the point of abutment is area {eq}x=a {/eq}, again the alike point is {eq}(a, f(a)) {/eq}. The abruptness of the action of that point determines the abruptness of the departure line, and is accustomed by the aboriginal derivative, {eq}f'(a) {/eq}.

Then the departure band can be bidding as

{eq}y-f(a)=f'(a)(x-a) {/eq}

We will charge to actuate the point of abutment and the abruptness of the action at that point.

Since {eq}x=2 {/eq}, we get {eq}y=6e^2 {/eq}, which we…

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What Will Writing Equations In Slope Intercept Form From Graph Worksheet Be Like In The Next 11 Years? | Writing Equations In Slope Intercept Form From Graph Worksheet – writing equations in slope intercept form from graph worksheet
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