Question

A line with a slope of -2 passes through the point (4, 7). Write an equation for this line in point-slope form.

Y-7= fill in the answer (x- fill in the answer)

Answer 1

`\boxed {\boxed {\sf y-7= -2 (x-4)}}`

Explanation:

We have a point and the slope, so we can use the point-slope formula.

`y-y_1=m(x-x_1)`

Where m is the slope and (x₁, y₁) is the point the line passes through.

We know the slope of the line is -2 and the point it passes through is (4, 7).

• m= -2
• x₁= 4
• y₁= 7

Substitute the values into the formula.

`y-7= -2 (x-4)`

We are asked to write the equation in point-slope form, so this is our final answer.

The equation of the line in point-slope form is: y-7= -2 (x-4)