Question

The line goes through the point (2,1) and has a slope of 2. What is this in slope intercept form

Answer 1

Answer: The equation in slope-intercept form is y = 2x - 3.

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is 2 and the line passes through the point (2,1).

Let's substitute the values into the equation:

`y=mx+b`

`1=2(2)+b`

`b=1-4`

`b=-3`

Now that we have both the slope and the intercept, we can write out equation:

`y=2x-3`

Answer 2

y = 2x - 3

Explanation:

Pre-Solving

We are given that a line passes through (2,1) and has a slope (m) of 2. We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.

Solving

As we are already given the slope of the line, we can plug that value into the equation.

We now have:

y = 2x + b

Now, we need to find b.

As the line passes through (2,1) we can use its values to help solve for b.

Substitute 2 as x and 1 as y.

1 = 2(2) + b

Multiply

1 = 4 + b

Subtract 4 from both sides.

-3 = b

Now, substitute into the equation.

y = 2x - 3