3. write an equation in point-slope form for the line through the given point with the given slope.
(4, -6); m = 3/5
a. y-4=3/5x (x+6)
b. y+6=3/5(x-4)
c. y+6=3/5x-4
d. y-6=3/5(x+4)

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

Step-by-step explanation:

The point-slope formula for a straight line is

x₁ = 4; y₁ = -6; m = ⅗  

Substitute the values

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

step-by-step explanation:

a and d

the answer is -6

step-by-step explanation:

the answer is -6 because its next to the variable m