The linear function rule that has a slope of –2 and a solution at (–5, 16) will be y = –2x + 6.
What is the equation of line?
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The slope of the line is negative 2. Then the equation of the line will be
y = –2x + c
And the solution of the line is (–5, 16).
Then this point will satisfy the equation of the line.
Then the value of c will be
16 = –2(–5) + c
16 = 10 + c
c = 16 – 10
c = 6
Substitute the value of c in the equation of line.
Then the equation of line will be
y = –2x + 6
More about the equation of line link is given below.
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