Answer: y = -2x + 9
Step-by-step explanation:
Formula for finding the equation of a line with a single coordinate is
y - y₁
------- = m --------------------------------------------------------1
x - x₁
Now make it a linear expression
y - y₁ = m( x - x₁) -------------------------------------------------------- 2
since the gradient (m) = -2 and x₁ = 1 and y₁ = 7
substitute for the values in the formula 2
y - 7 = -2( x - 1 )
y - 7 = -2x + 2
y = -2x + 2 + 7
y = -2x + 9
Therefore equation of the line with the following information will be
y = -2x + 9