The slope of the line is 2 and the y intercept is (-3)
The general equation of the line is : y = m(x-a) + b, where m is the slope and (a,b) is the passing point.
The y-intercept of the line is point where x= 0, so the coordinates is (0, y)
In the given question Y -intercept is (-3) so, y intercept coordinate : (x,y) = (0, -3)
Substiutue the coordinate (0,-3) and slope m = 2 in the general equation of line :
y = m(x - a) + b
y = 2 (x - 0) + (-3)
y = 2x - 3
Equation of line is : y = 2x - 3
For the graph of the line y = 2x - 3
We need atleast three set of coordinate
for x = o
y = 2x - 3
y = 2(0) - 3
y = (-3)
Coordinate : ( 0, -3)
for x = 1
y = 2x - 3
y = 2(1) - 3
y = (-1)
Coordinate : ( 1, -1)
for x = (-1)
y = 2x - 3
y = 2(-1) - 3
y = -5
Coordinate : ( -1, -5)
Substitute these coordniate on the graph :
