Question

find the equation for the line that passes through the point (2,-5) and
1) had slope -3
2) parallel to x-axis
3) parallel to y-axis
4) parallel to the line 2x - 4y = 3

Answer 1

Answer:

1) had slope -3

Step-by-step explanation:

Answer

Let x-intercept of the line be a.

Then, y-intercept of the line is −a.

∴ Equation of the line using double intercept form is

a

x

+

(−a)

y

=1

a

x

−

a

y

=1

i.e. x−y=a ...(1)

This line passes through the point (2,5)

∴2−5=a

i.e. a=−3

From (1), equation of the line is x−y=−3

i.e., x−y+3=0.