Find an equation for a line with slope of
,passing through (2,-3)

Step-by-step explanation:

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

m = ³/₄

(2, -3)    ⇒    x₁ = 2,  y₁ = -3

So the point-slope form of the equation:

                                                                   y - (-3) =³/₄(x - 2)      

                                                          or:   y + 3 = ³/₄(x - 2)

y + 3 = ³/₄x - ³/₂      {subtract 3 from both sides}

y = ³/₄x - ³/₂ - ⁶/₂

y = ³/₄x - ⁹/₂

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula