See a solution process below: Explanation: The equation in the problem is in slope-intercept form. 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. y = − 1 x + 3
Therefore, the slope of this line is: − 1
The slope of parallel lines. Therefore, the slope of the line we are looking for is also − 1 . We can substitute this into the slope-intercept formula giving: y = − 1 x b
Next, we can substitute the values from the point in the problem for x and y and solve for b : 5 = ( − 1 ⋅ 3 ) + b
5 = − 3 + b
3 + 5 = 3 − 3 + b
8 = 0 + b
8 = b
Now, we can also substitute this into the formula to complete the equation: y = − 1 x + 8
