Respuesta :
An equation for the line parallel to the given line that contains C(2,4) is y = (3/4)x + (1/2).
We may use the slope-intercept version of the expression of a line, which is provided by "y = mx + b," where m seems to be the slope of the line & b is the y-intercept, to express the linear function that is perpendicular to a given line as well as contains a particular point.
We may easily utilize the same value of m again for the equation of a parallel line if the slope-intercept form of a line's equation is provided. For instance, if the provided line's equation is "y = 2x + 1," a parallel line's equation would be "y = 2x + c," where c is a constant.
By restructuring the equation in slope-intercept form if the equation of a line is provided in another form, such as "ax + by + c = 0," it is possible to determine the slope of the line. If the expression of the single sequence is "3x - 4y + 5 = 0," for instance, we may rewrite it in slope-intercept form by focusing just on y on one side of the equation:
3x - 4y + 5 = 0
-4y = -3x - 5
y = (3/4)x + (5/4)
The slope of the line is 3/4.
4 = (3/4)(2) + b
4 = (3/2) + b
b = 4 - (3/2)
b = (4 - 3/2)
b = (4 - 3)/2
b = (1/2)
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