Answer:
4x + y = 15
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 4 , then
y = - 4x + c ← is the partial equation
to find c substitute (2, 7 ) into the partial equation
7 = - 4(2) + c = - 8 + c ( add 8 to both sides )
15 = c
y = - 4x + 15
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
then
y = - 4x + 15 ( add 4x to both sides )
4x + y = 15 ← in standard form