Question

Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2.

The value of xi is
The value of yı is
The point-slope form of the equation is

Answer 1

y+1= 2(x-6)

Explanation:

Hi! Before we begin answering the question, we need to recall the formula for Point-Slope Form which is y- yı= m(x-xi), in which m is the slope of the function. With this given information, we just need to plug in the point (6,-1) and the slope 2 into the given function.

This will look like:

y- (-1) = 2 (x-6)

Notice that two negatives will make a positive, so the left side of the equation is the same as y+1.

Therefore, our answer is y+1= 2(x-6) .

Answer 2

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Answer:

• the value of x1 is 6
• the value of y1 is -1
• the point-slope equation is: y +1 = 2(x -6)

Explanation:

Point-slope form is ...

y -y1 = m(x -x1) . . . . . . line with slope m through point (x1, y1)

The given point is (6, -1), so ...

x1 = 6

y1 = -1

The given slope is 2, so ...

m = 2

Substituting these into the point-slope form above gives ...

y -(-1) = 2(x -6)

y +1 = 2(x -6)