A vertical line on a graph has infinite slope and no y-intercept.
Its equation is [ x = a number ]. The number is the line's x-intercept.
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When the slope is undefined, you know the line has to be vertical. Vertical lines only have an x in their equations. When you have the coordinates (2,4) with a vertical line, the equation for the slope intercept AND standard form would be the same thing: x=2
Yes, every non-vertical line can be represented by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of a line represents the rate of change of the line, while the y-intercept is the point where the line intersects the y-axis. Therefore, every non-vertical line has both a slope and a y-intercept.
A vertical line has neither.
Any vertical line has an undefined slope. The equation of the vertical line is x = a where the x-intercept is a.
Draw a straight line from the intercept to the given point. Under this line form a right angle triangle with the line being its hypotenuse. The vertical units of the triangle divided by the horizontal units will be the slope of the straight line.