Question

for each of the following, write the equation of the line determined by the given pair of points in slope intercept form or in the form x=a, or y=b. complete parts a thru c. a. (-4,2) and (3,-5)b. (0,0) and (4, 1)c. (0, -4/5) and (4/5, 0)

Answer 1

The points given are,

$(-4,2),(3,-5)$

The equation of line in slope-intercept form ,

$y-y_1=m(x-x_1)$

The slope is calculated as

$m=\frac{-5-2}{3-(-4)}$$m=\frac{-7}{7}$$m=-1$

The equation of line determined as,

$y-2=-1(x-(-4))$$y-2=-1(x+4)$$y-2=-x-4$$y=-x-2$

The equation of line formed is,

$y=-x-2$