Graphing a linear equation by rewriting from standard form to slope intercept form

👉 Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is the slope and c is the y-intercept). Next we plot the y-intercept and using the slope, we can determine the rise and the run of the required line and then be able to plot the next point from the y-intercept. Finally, we draw a straight line passing through the two plotted points.

Alternatively, we can determine the x-intercept and the y-intercept of the standard form linear equation by subtituting y = 0, then solve for x and substituting x = 0, then solve for y respectively. Recall that the x-intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0. After obtaining the values of the x-intercept and the y-intercept, we plot the points on the coordinate plane and then draw a line passing through the points.

Organized Videos:
✅Graph Linear Equations
✅Graph Linear Equations | Learn About
✅Graph Linear Equations From a Table
✅Graph Linear Equations in Standard Form | Fractions
✅Graph Linear Equations in Standard Form
✅Graph Linear Equations in Slope Intercept Form
✅Graph Vertical and Horizontal Lines
✅Graph Linear Equations Using Slope and Y-intercept

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[ellasedits_]

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[kurri]

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I have a quiz tomorrow as well, and I'm confident it'll be a breeze. Thanks!

[OneMoreTime-xt]

Who here just had a mental breakdown because they don’t understand this… but this man made sense

[SablemoonProductions]

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[hundredthjam]

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[susanjameson]

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[ratahtooie]

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[charliepope]

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[mo]

We literally have a quiz on this, and we have to learn how to graph. This helped so much!

[dragonluvver]

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[mrfresh]

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[ellaseedorf]

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[johnnolen]

There is an easier way to graph the line than putting it in slope - intercept form.

Start with standard form: 3x + 5y = 15.
Divide on both sides by the constant term: 3x/15 + 5y/15 = 1.

Simplify: x/5 + y/3 = 1.

It is now obvious, or it should be, that the x intercept is 5 and the y intercept is 3. Plot these two points and draw your line.

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[suji]

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