what is 2x y 6 in slope intercept form Algebra Write in Slope Intercept Form 2x y 6 2x y 6 2 x y 6 The slope intercept form is y mx b y m x b where m m is the slope and b b is the y intercept y mx b y m x b Rewrite in slope intercept form Tap for more steps y 2x 6 y 2 x 6 Free math problem solver answers your algebra geometry
No standard form and slope intercept form are two different ways of describing a line Slope intercept form reads y mx b where m is the slope steepness of the line and b is the y intercept i e the value at which the line intersects the vertical axis For example y 2x 3 Step 1 Enter the linear equation you want to find the slope and y intercept for into the editor The slope and y intercept calculator takes a linear equation and allows you to calculate the slope and y intercept for the equation The equation can be in any form as long as its linear and and you can find the slope and y intercept Step 2
what is 2x y 6 in slope intercept form
what is 2x y 6 in slope intercept form
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Standard Form To Slope Intercept Form STEM 911
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6 Ways To Use The Slope Intercept Form in Algebra WikiHow
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The slope intercept form of a linear equation is where one side contains just y So it will look like y mx b where m and b are numbers This form of the equation is very useful The coefficient of x the m value is the slope of the line And the constant the b value is the y intercept at 0 b Horizontal Lines The equation of a horizontal line is y b where b is the y intercept Since the slope of a horizontal line is 0 the general formula for the standard form equation y mx b becomes y 0x b y b Also since the line is horizontal every point on that line has the exact same y value
Recall that in the general slope intercept equation y m x b the slope is given by m and the y intercept is given by b Therefore the slope of y 2 x 3 is 2 and the y intercept is 0 3 In order to graph a line we need two points on that line We already know that 0 3 is on the line Additionally because the slope of the Recall that the slope of a line is the ratio of the change in y over the change in x between any two points on the line Slope Change in y Change in x Therefore this is the slope between the points 0 3 and 2 7 m Change in y Change in x 7 3 2 0 4 2 2 In conclusion the equation of the line is y 2 x 3
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Slope intercept equation from two points example To determine how to write an equation from two points we must determine the value of the slope and the y y intercept First we will calculate the slope This will be the value of m m in the slope intercept form equation y mx b y mx b Here are five equations we graphed in this chapter and the method we used to graph each of them Equation Method 1 x 2 Vertical line 2 y 1 Horizontal line 3 x 2y 6 Intercepts 4 4x 3y 12 Intercepts 5 y x 4 Slope intercept Equations 1 and 2 each have just one variable
We can find the slope of a line using the slope intercept form given as y mx b where m is the slope of the line and b is the y intercept Here is an example Let us find the slope of the line 6x 3y 5 Let us solve this for y to get into the slope intercept form Then we get y 2x 5 3 Step 4 Putting them together in latex y mx b latex form since latex m 3 latex and latex b 25 latex we have the slope intercept form of the line as Step 5 Using a graphing utility show that the solved linear equation in slope intercept form passes through the two points
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what is 2x y 6 in slope intercept form - Recall that the slope of a line is the ratio of the change in y over the change in x between any two points on the line Slope Change in y Change in x Therefore this is the slope between the points 0 3 and 2 7 m Change in y Change in x 7 3 2 0 4 2 2 In conclusion the equation of the line is y 2 x 3