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What is the equation of the line passing through #(-2,-1)# and #(-21,7)#?

Answer 1

Avery Alexander

The equation of line is # 8x+19y = -35 #

The slope of a line passing through two points

# (x_1,y_1) and (x_2,y_2) # is #m= (y_2-y_1)/(x_2-x_1) #

The slope of a line passing through two points

# (-2,-1) and (-21,7) # is #m= (7+1)/(-21+2)= -8/19#

The equation of line passing through point #(x_1,y_1)# is

# y-y_1= m (x-x_1) :.# The equation of line passing through point

#(-2,-1)# is # y+1= -8/19 (x+2) or 19y+19 =-8x-16# or

# 8x+19y = -35 # [Ans]

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Answer 2

Isaiah Anthony

To find the equation of the line passing through the points (-2, -1) and (-21, 7), you first need to find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

Once you have the slope, you can use one of the points and the slope in the point-slope form of the equation of a line:

y - y₁ = m(x - x₁)

Substitute the slope and the coordinates of one of the points into the equation to find the equation of the line.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.