Question

Determine the following features of the line that contains the points (-1, 1) and (2, 5):

a) Its slope
b) Its point-slope equation
c) Its slope-intercept equation
d) Its general equation

Answer 1

first find slope
m=slope=change in y values/ change in x values
m=(5-1)/(2-(-1)=4/3
point slope form is
y-y0=m(x-x0)
y-1=4/3(x-(-1)
y-1=4/3(x+1)
y-1=4/3x+4/3 (point slope form)
simplify it for y to get slope intercept form.
y=4/3x+4/3+1
y=4/3x+7/3 (slope intercept form)

4/3x-y+7/3=0
multiply with 3 whole equation.
4x-3y+7=0 (general form.)

Answer 2

thank youuuu