1. Find the equation of a line having slope `1/2` and Y-intercept `-3`Solution:Equation of a line with slope `m` and intercept `c` on Y-axis is `y=mx+c`
Here Slope `m=1/2` and y-intercept `c=-3`
`y=1/2x-3`
`:. 2y=x-6`
`:. x-2y-6=0`
Hence, The equation of line is `x-2y-6=0`
2. Find the equation of a line having slope `-1/2` and Y-intercept `3`Solution:Equation of a line with slope `m` and intercept `c` on Y-axis is `y=mx+c`
Here Slope `m=-1/2` and y-intercept `c=3`
`y=-1/2x+3`
`:. 2y=-x+6`
`:. x+2y-6=0`
Hence, The equation of line is `x+2y-6=0`
3. Find the equation of a line having slope `2` and Y-intercept `-3`Solution:Equation of a line with slope `m` and intercept `c` on Y-axis is `y=mx+c`
Here Slope `m=2` and y-intercept `c=-3`
`y=2x-3`
`:. y=2x-3`
`:. 2x-y-3=0`
Hence, The equation of line is `2x-y-3=0`
4. Find the equation of a line having slope `2` and Y-intercept `3/2`Solution:Equation of a line with slope `m` and intercept `c` on Y-axis is `y=mx+c`
Here Slope `m=2` and y-intercept `c=3/2`
`y=2x+1.5`
`:. y=2x+1.5`
`:. 2x-y+1.5=0`
Hence, The equation of line is `2x-y+1.5=0`
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