2 1 and 5 3 slope intercept form Use the slope intercept formula to find the slope m y y x x 3 1 2 1 2 1 2 Calculate the y intercept You can also use x and y instead of x and y here b y m x 1 2 1 1 Put all these values together to construct the slope intercept form of a linear equation y 2x 1
X y b m x y m x b On the other hand these linear equations are not in slope intercept form 2 x 3 y 5 y 3 2 x 1 x 4 y 7 Slope intercept is the most prominent form of linear equations Let s dig deeper to learn why this is so The coefficients in slope intercept form Solution Step 1 First of all take the given points of the line X 1 3 X 2 6 Y 1 5 Y 2 8 Step 2 Calculate the slope of the line Slope m y 2 y 1 x 2 x 1 Slope m 8 4 6 3 Slope m 8 4 3 Slope m 12 3 4 Step 3 Now evaluate the y intercept of the line
2 1 and 5 3 slope intercept form
2 1 and 5 3 slope intercept form
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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 Click the blue arrow to submit and see the result Let s write the equation of the line that passes through the points 0 3 and 2 7 in slope intercept form 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
Additionally because the slope of the line is 2 we know that the point 0 1 3 2 1 5 is also on the line How do we know that The fact that the slope of the line is 2 tells us that when x increases by 1 unit y increases by 2 units Let s answer the question What is the slope intercept form of a line going through the points 1 5 and 4 7 Remember to calculate the slope we use the equation dfrac y 2 y 1 x 2 x 1
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Given m 3 and the point 3 5 find b and write the equation of the line in slope intercept form y mx b 5 3 3 b b 5 9 4 y 3x 4 Because we are given slope and a point on a line we just need to find the y intercept in order to write the equation of the line in slope intercept form X 1 2 y 1 3 Identify the slope m 2 Input the values into the point slope form formula y y 1 m x x 1 small y y 1 m x x 1 y y 1 m x x 1 y 3 2 x 2 small y 3 2 x 2 y 3 2 x 2 Simplify to get the general equation y 2 x 4 3 small y 2x 4 3 y
In general the slope intercept form assumes the formula y mx b M is the slope lesson on slope Mnemonic m means move B is the y intercept lesson on the y intercept Mnemonic b means where the line begins Examples Y mx c Where m Slope of line x x coordinate of the line y y coordinate of the line c y intercept of the line The m is the change in y and along with the x coordinates at any point of intersection of x and y You can also find the x intercept of a line with the help of the above formula
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2 1 and 5 3 slope intercept form - Let s write the equation of the line that passes through the points 0 3 and 2 7 in slope intercept form 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