Find an equation for the line whose graph is sketched.
Find an equation for the line whose graph is sketched.
y intercept is 1
gradient is 4
graph is downhill therefore gradient is negative, so equation of line is
y=-4x+1
The equation of line is y=-4x+1
In its simplest format in algebra, the definition of an equation exists as a mathematical statement that indicates that two mathematical expressions exist equal. For instance, 3x + 5 = 14 exists an equation, in which 3x + 5 and 14 exist two expressions separated by an 'equal' sign.
Equation of line in Two point form
When we know any two points on a line lets say \((a_1,b_1)\) and \((a_2,b_2)\), we can write its equation as:
\(y-b_1=m(x-a_1)\)
where
\(m=\dfrac{b_2-b_1}{a_2 -a_1}\)
Here, two points are (0,1) and (-1,5)
\(m=\dfrac{5-1}{-1-0}=-4\)
y-1= -4(x-0)
y = -4x + 1
Hence the equation of line is y = -4x + 1.
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