Answer :
On solving the provided question, we can say that - an equation of the line that pae through the given point and is parallel to the given line (-3, 3), y=1/2x4 is y-3 = 1/2(x-4)
What is a equation?
A mathematical statement called an equation is made up of two expressions connected together by the equal sign. An equation is, for instance, 3x - 5 = 16. This equation's solution yields the value of the variable x as x = 7. A formula that claims two formulae are equal is the definition of an equation in algebra in its most basic form. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.
[tex]y -3 = 1/2(x -4)[/tex]
The equation of the desired line in point-slope form is...
[tex]y -k = m(x -h) . . . . .[/tex]line through point with slope of m (h, k)
[tex]y = 1/2(x +4)[/tex]
We can observe that the supplied line passes through point and has a slope of half (-4, 0). The equation for point (4, 3) uses the same slope for the parallel line.
[tex]y -3 = 1/2(x -4)[/tex]
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