write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation. (3,-2); y=x+4

Answer 1

Parallel to y = x + 4 and passing though (3,-2)

Parallel lines have the same slope but pass through different points.

y = x + 4

y =mx + b

m is the slope, which is 1 (since there’s no other number there). The slope of our line will be 1.

Next, we have to find the y intercept of our line (b) by using the point given as x and y.

(3, -2)

x. y

Plug in m = 1, x = 3, and y = -2 into the y=mx+b equation.

y = mx + b

-2 = (1)(3) + b

-2 = 3 + b subtract 3 from both sides

-5 = b

Lastly, we plug m and b into the y = mx+b equation to get the final answer.

y = mx+ b

y = 1x -5 or just y = x - 5

Answer 2

Answer 3

Use the definition of slope - or point-slope form

(y + 2) / (x - 3) = 1