Question

Write an equation in slope-intercept form for the line passing through the pair of points.

Answer 1

Answer:

A) y= -x + 1

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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We have the points (-1, 2) and (4, -3).

Calculate the slope:

$m=\dfrac{-3-2}{4-(-1)}=\dfrac{-5}{5}=-1$

Put the value of the slope an the coordinates of the point 9-1, 2) to the equation of a line:

$2=(-1)(-1)+b$

$2=1+b$              subtract 1 from both sides

$1=b\to b=1$

Finally:

$y=-x+1$