Linear Equations

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# Linear Equations - PowerPoint PPT Presentation

Linear Equations. Slope-Intercept and Standard Form. Slope-Intercept Form. Any linear equation can be solved for y and written like this: This form of a linear equation is called ______-_________ form. Slope-Intercept Form. The “m” represents the _____ of the line.

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## PowerPoint Slideshow about 'Linear Equations' - sharvani

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### Linear Equations

Slope-Intercept and Standard Form

Slope-Intercept Form
• Any linear equation can be solved for y and written like this:
• This form of a linear equation is called ______-_________ form.
Slope-Intercept Form
• The “m” represents the _____ of the line.
• It is often convenient to write the slope as a fraction, since slope is defined as...
Slope-Intercept Form
• The “b” represents the __-__________.
• (Which is where the line crosses the __-_____.)
• It is important to pay attention to the signs of both m and b!
y = 3x - 5
• Can you determine the slope and the y-intercept of this equation?
• The slope is ___
• Which we might choose to write as ___
• (to make the “rise” and “run” more obvious)
y = 3x - 5
• You didn’t miss the negative sign did you?
• We can graph this equation by first plotting the y-intercept, then plotting a second point found via the slope!
Could you sketch the graph?

First plot the y-intercept.

The “rise” is __.

The “run” is __.

y = 3x - 5
3x + 2y = 4
• Re-write the equation in slope-intercept form.
• Solve for y. Put the “x” term first on the right side of the equation.
• The slope is ___ and the y-int is ___.
y = -3/2x + 2
• Now graph the linear equation.
Writing a Linear Equation
• Suppose you were given a point on a line and a slope. Could you write the equation of the line?
• How could you find the y-intercept?
m = 2/3 and the line contains (-3,-2)
• Since we know the slope and at least one value of x and y that makes the equation true, we can simply substitute and solve!
Writing a Linear Equation
• Now we know both the slope and the y-intercept. Can you write the equation in both slope-intercept and standard form?
• Write the equation in slope-intercept form.