what is the slope of the line represented by the equation y 3 4 x 5 Final answer The slope of the equation y 4 5x 3 is 4 5 which represents the consistent rise over run for the line Explanation The slope of the line is represented by the equation In the standard form y mx b where m is the slope and b is the y intercept and the coefficient of x represents the slope of the line
Slope and Y Intercept Calculator 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 Enter the x and y coordinates of the first point followed by the x and y coordinates of the second one Instantly we learn that the line s slope is 0 166667 If we need the line s equation we also have it now y 0 16667x 4 83333 You can use this calculator in reverse and find a missing x or y coordinate
what is the slope of the line represented by the equation y 3 4 x 5
what is the slope of the line represented by the equation y 3 4 x 5
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What Is The Slope Of The Line Represented By The Equation Y 4 5x 3
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Point Slope Form Of A Linear Equation
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X 1 Y 1 distance d slope m OR angle of incline Slope sometimes referred to as gradient in mathematics is a number that measures the steepness and direction of a line or a section of a line connecting two points and is usually denoted by m Answer Slope m 12 5 As a decimal m 2 4 Graph of the line y mx b 1 2 3 4 5 6 7 8 9 1 2 2 4 2 4 6 8 10 0 0 o X Y 2 3 7 9 Graph tools will zoom move and enter full screen mode Or use with a mouse to zoom and move press esc to exit full screen mode Slope Solution
In an equation in slope intercept form y mx b the slope is m and the y intercept is b We can also rewrite certain equations to look more like slope intercept form For example y x can be rewritten as y 1x 0 so its slope is 1 and its y intercept is 0 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
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SOLVED In The Following Exercises Graph The Line Of Each Equation
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Video Finding The Equation Of A Line In Slope Intercept Form Nagwa
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Now let s use point 4 3 as x1 y1 x 1 y 1 and as you can see the slope simplifies to the same value 1 3 1 3 The work side by side point 4 3 as x1 y1 x 1 y 1 slope y2 y1 x2 x1 3 2 4 1 13 s l o p e y 2 y 1 x 2 x 1 3 2 4 1 1 3 point 1 2 as x1 y1 x 1 y 1 Slope y x 15 4 11 5 12 7 11 4 3 9 1 3 39 13 3 The slope of the line is 3 Want to learn more about finding slope from two points
The equation is now in slope intercept form y frac 4 3 x 4 Identify the slope and y intercept m frac 4 3 y ntercept is 0 4 Plot the y intercept See graph below Identify the rise and the run count out the rise and run to mark the second point Draw the line In the standard equation of a line y mx b the slope is m It is also commonly described as rise over run which tells us how much the y value changes as the x value changes Positive and negative slope If the slope of a line is positive the line increases goes up as it moves from left to right If the slope of a line is negative the
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what is the slope of the line represented by the equation y 3 4 x 5 - Since the horizontal lines cross the y axis at y 4y 4 and at y 3 y 3 we know the y intercepts are 0 4 0 4 and 0 3 0 3 The lines have the same slope and different y intercepts and so they are parallel