Answer:
1. ![-5x+3y+44=0](https://tex.z-dn.net/?f=-5x%2B3y%2B44%3D0)
2. ![2x+y-2=0](https://tex.z-dn.net/?f=2x%2By-2%3D0)
3. ![2x+y-4=0](https://tex.z-dn.net/?f=2x%2By-4%3D0)
Step-by-step explanation:
Standard form of a line is
.
If a line passing through two points then the equation of line is
where, m is slope, i.e.,
.
1.
The line passes through the points (7,-3) and (4,-8). So, the equation of line is
Therefore, the required equation is
.
2.
We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to
.
Slope of the line :
Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).
Equation of line is
Therefore, the required equation is
.
3.
We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to
.
From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).
Equation of line is
Therefore, the required equation is
.