does an undefined slope have a y intercept To visualize this plot the points 2 7 and 2 9 Draw a line that passes through both points forming a vertical line parallel to the y axis This vertical orientation confirms that
A line with an undefined slope is parallel to the y axis going straight up and down This corresponds to a 90 angle where the tangent is undefined The equation for an undefined slope is x a where a represents You re talking about a vertical line whose equation is x a number Every other possible line has a defined slope If a number is not zero then the line has no y intercept
does an undefined slope have a y intercept
does an undefined slope have a y intercept
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A large positive slope for example means that the line rises from left to right very quickly But considering this how can we have an undefined slope The answer is based on how we calculate slope with the slope formula In this Identify the slope and y intercept form of an equation of a line Graph a line using its slope and intercept Choose the most convenient method to graph a line Graph and interpret applications of slope intercept Use slopes
A horizontal line has a slope of zero because y does not change Slope 0 y 2 Vertical line slope A vertical line has an undefined slope because you cannot divide by zero x does not change Slope undefined x 3 Parallel line An undefined slope or infinite slope means the line is neither moving to the left nor to the right such as the case of a vertical line The slope of a vertical line is either latex infty latex or latex infty latex
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Yes an equation with undefined slope can have a y intercept This occurs when the equation is in the form y c where c is a non zero constant The y intercept in this case is the The slope intercept form is the most popular form of a straight line Many students find this useful because of its simplicity One can easily describe the characteristics of the straight line even without seeing its graph because the
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 Standard form reads Ax Given any two points on a line we can algebraically calculate the slope using the slope formula m rise run y2 y1 x2 x1 Any nonvertical line can be written in slope intercept form y
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does an undefined slope have a y intercept - If the slope of a line is undefined then the line is a vertical line so it cannot be written in slope intercept form but it can be written in the form x a where a is a constant