Question

complete the following: List the characterizing property for each familg) AX+ By = 0 y = x tan 50° + (h) m(x + 2) = y - 1

Answer 1

we have

Part h

m(x+2)=y-1

this is the equation of a line in point slope form

y-y1=m(x-x1)

where

in this problem

the slope is m

the point is (-2,1)

Find the intercepts

y-intercept is the value of y when the value of x is zero

so

For x=0

m(0+2)=y-1

y-1=2m

y=2m+1

the y-intercept is the point (0,2m+1)

Find the x-intercept (value of x when the value of y is zero)

For y=0

m(x+2)=0-1

m(x+2)=-1

x+2=-(1/m)

x=-(1/m)-2

x-intercept is (-(1/m)-2,0)

Part g

we have

Ax+By=0

equation of the line in standard form

the slope is equal to

m=-A/B

Find the intercepts

y-intercept

For x=0

By=0

y=0

the y-intercept is (0,0)

Find the x-intercept

For y=0

Ax=0

x=0

the x-intercept is (0,0)

that means ----> the line passes through the origin