Question

(3, 2), y = x + 5 Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.

Answer 1

Answer:

y = x - 1

Step-by-step explanation:

Since the line is parallel to y = x + 5, it will have the same slope, which is 1.

Plug in the slope and the given point into y = mx + b, and solve for b:

y = mx + b

2 = 1(3) + b

2 = 3 + b

-1 = b

Then, plug in the slope and b into the equation:

y = mx + b

y = x - 1

So, the equation is y = x - 1