Answer:
(y+2)= -3(x-7)
Explanation:
We can use the slope-intercept formula to write this equation. The slope-intercept form of a linear equation is:
y = m x + b
Where m is the slope and b is the y-intercept value.
We can substitute the slope into the formula giving:
y = − 3 x + b
Next, we can substitute the values from the points in the problem for x and y and solve for b :
− 2 = ( − 3x 7 ) + b
− 2 = − 21 + b
21 − 2 = 21 − 21 + b
19 = 0 + b
19 = b
We can now substitute the slope from the problem and the value for b we calculated into the formula to write the equation.
y = − 3 x + 19
Another process is to use the point-slope formula. The point-slope formula states:
( y − y 1 ) = m ( x − x 1 )
Where m is the slope and ( x 1 , y1 ) is a point the line passes through.
Substituting the slope and values from the points in the problem gives:
(y − − 2 ) = − 3 (x-7)
( y + 2 ) = − 3 ( x − 7 )