Finding Angle Between Lines Passing Through Points (-2,-1) and (4,1)

[cherrypie]

Homework Statement

Find the equation of a straight line which passes through the point (2,3) and is inclined at 30 Celsius to the positive direction of the x-axis.

The Attempt at a Solution

i have no idea how to to this question as i was away for a week of school >< and my teacher gave my catch up worksheets. I am falling behind class. so need help

Homework Statement

find the angle between the straight line 3x-2y=4 and the line joining the points (-2,-1) and (4,1)

please guide me step by step

thanks

 

[rock.freak667]

What you need for the first one is a point on the line (which you were given) and the gradient.
This will help you to get the gradient:

Tan(angle the line makes with the +ve x-axis)=gradient of the line.

EDIT: I think you mean 30 degrees and not celsius as that implies a temperature.

 

[cherrypie]

What you need for the first one is a point on the line (which you were given) and the gradient.
This will help you to get the gradient:

Tan(angle the line makes with the +ve x-axis)=gradient of the line.

EDIT: I think you mean 30 degrees and not celsius as that implies a temperature.

so y=mx+c
Tan(30degrees) is m =0.56
so y=0.56x+c

find c, sub (2,3)

y=0.56x+1.85 ?

 

[HallsofIvy]

(0.56)(2)+ 1.85= 1.12+ 1.85= 2.97, not 3. Did you mean tan(30)= 0.58?