Question

A line with a slope of -2 passes through the point (4, 7).

What is an equation for this line in point-slope form? ( the brackets are blanks, fill in the blanks)
y - 7 = [ ] (x - [ ])

Answer 1

Answer:

y-7= -2 (x-4)

Step-by-step explanation:

We can use the point slope formula, since we have a point, and a slope

$y-y_{1} =m(x-x_{1})$

m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point

We know -2 is the slope, 7 is the y coordinate, and 4 is the x coordinate, so we can substitute them in

y-7= -2 (x-4)

Since we don't need to solve, this is the answer. The first bracket is -2, and the second is 4

Answer 2

Point-slope form:  y - y₁ = m(x - x₁)

(m is the slope, (x₁, y₁) is the point you are given that's on the line)

You know:

m = -2

(x₁, y₁) = (4, 7)         So plug it into the equation

y - y₁ = m(x - x₁)  

y - 7 = -2(x - 4)

[so the first bracket is -2, the second bracket is 4]