y=mx+b
Here, m is the slope and b is the y-intercept. We see that the first equation has the slope m= -1 and a y-intercept of b= 1.
y= -1 x+ 1
We can then draw the first line by plotting the y-intercept before using the slope to find a second point. We can then draw a line through the points to form the line.
We do the same thing with the second equation which has a slope of m= 2 and a y-intercept at b= 7.
We can then see the point of intersection between the lines.
The intersection is located at (-2,3).
b
We can solve the system of equation by using the Substitution Method. As the equations are both solved for one variable, we can insert either one into the other.
y=- x+1 & (I) y=2x+7 & (II)We choose to substitute the y from (I) into (II).
