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The question suggests that the second given curve is a quadratic (a parabola). If that is the case then its gradient is not constants and so the gradient of the perpendicular is indeterminate.
when the slope is 0, the graph is a horizontal line on the x axis so the y axis is perpendicular to it, which can be written x=0
There is no y-intercept or slope for this given equation, because its graph is a vertical line perpendicular to the x-axis.
The graph will be a line.
It would be perpendicular to a line with the equation Y = 1/8 X.
When it is a linear equation.
Solve the line equation for "y", to get it in slope-intercept form. You can immediately read the slope from this equation.Divide -1 by (slope of this first line) to get the slope of the second line - the one perpendicular to the given line. Write an equation for any line with this slope.
when the slope is 0, the graph is a horizontal line on the x axis so the y axis is perpendicular to it, which can be written x=0
As for example the perpendicular equation to line y = 2x+6 could be y = -1/2x+6 because the negative reciprocal of 2x is -1/2x
There is no y-intercept or slope for this given equation, because its graph is a vertical line perpendicular to the x-axis.
The graph will be a line.
It would be perpendicular to a line with the equation Y = 1/8 X.
When it is a linear equation.
Gradient of given line is 2.1/5 = 21/50 So gradient (slope) of perpendicular is -50/21 = -2.381 (to 3 dp)
7x + 10y = 4.5 : 10y = -7x + 4.5 : y = -x.7/10 + 0.45, the gradient of this line is -7/10 Two straight lines are perpendicular if the product of their gradients is -1. Let the equation for the perpendicular line be y = mx + c Then m x -7/10 = -1 : m = 10/7 The equation for the perpendicular line is y = x.10/7 + c If the values of x and y for the point of intersection are provided then these can be substituted in the perpendicular line equation and the value of c obtained. If appropriate, the equation can then be restructured to a format similar to the original equation.
the line
-- I can say that the equation of the line is [ x = a number ]. -- I can also say that the line is vertical on a graph. -- I can also say that the line is parallel to the y-axis. -- Also that it's perpendicular to the x-axis.
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