Question

3. Write an equation in point-slope form for the line through the given point with the given slope.

Answer 1

Answer:

B

Step-by-step explanation:

recall that point-slope form of a linear equation is expressed as follows

y - y1 = m (x - x1)

where m = slope and (x1, y1) is the coordinate of any point on the line

so, here we have m = (3/5), x1 = 4 and y1 = -6

substitute these into the formula

y - (-6) = (3/5) (x - 4)

y + 6 = (3/5) (x - 4)----> answer

Answer 2

Answer:

$\boxed{\text{B. }y + 6 =\dfrac{3}{5}(x - 4)}$

Step-by-step explanation:

The point-slope formula for a straight line is

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

x₁ = 4; y₁ = -6; m = ⅗  

Substitute the values

$\begin{array}{rcl}y - (-6) & = & \dfrac{3}{5}(x - 4)\\\\y + 6 & = & \dfrac{3}{5}(x - 4)\\\\\end{array}\\\text{The equation for the line is \boxed{\mathbf{y + 6 =\dfrac{3}{5}(x - 4)}} }$

The figure shows the graph of the equation with slope ⅗ passing through (4,-6).