Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1).

Question

Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1).

Answer 1

Another way to solve is to use the point-slope formula.

y - y₁ = m(x - x₁)

y - 1 = 2(x - 1)

y - 1 = 2x - 2

y = 2x - 1

Answer 2

Y = MX + B

M = 2 Given the SLOPE of 2.

(1,1) Given this point is on the line.

Now, all we have to do is determine what the Y-INTERCEPT B is, and we have our LINEAR equation,

the equation of a LINE.

Use (1,1) and plug into Y = MX + B to determine B. i.e. X=1 and Y=1.

Y = MX + B

1 = (2)(1) + B

1 = 2 + B

1 - 2 = 2 - 2 + B. Subtracting 2 from both sides.

-1 = B

Now we know M=2 and Y=-1, and we just plug those two values into Y = MX + B.

Y = 2X + (-1)

Y = 2X - 1 is the linear equation we are looking for.

CHECKING;

Let X=1 and plug into Y = 2X -1, and see if we get 1.

Y = (2)(1) - 1 = 2 - 1 = 1

Yes, the point(coordinate) (1,1) is on the line.

Hope this was helpful Malik.