Question

choose the point-slope form and f the equation below that represents the line through the point (6,-3) and has a slope of 1/2

Answer 1

The point-slope form of this equation would be y + 3 = 1/2(x - 6)

Explanation:

In order to find this, start with the base form of point-slope form.

y - y1 = m(x - x1)

Now input the slope for m and the point for (x1, y1)

y - -3 = 1/2(x - 6)

y + 3 = 1/2(x - 6)

Answer 2

y+3= 1/2(x-6)

Explanation:

y-y₁ = m(x-x₁) is point-slope form of equation of line where m is slope and (x₁,y₁) is a point that passes through the line .

From question statement,we observe that

Slope and a point is given.

Hence, m = 1/2 and (x₁,y₁) = (6,-3)

Putting above values in formula,we get

y - (-3) = 1/2(x-6)

y+3= 1/2(x-6) is point-slope form of equation that passes through a point (6,-3) and has a slope equals to 1/2.