(i) Slope is [tex]m=2[/tex]
(ii) x - intercept is [tex]\left(-\frac{1}{2}, 0\right)[/tex]
(ii) y - intercept is [tex](0,1)[/tex]
Explanation:
The given equation is [tex]y=2x+1[/tex]
We need to determine the slope, x - intercept and the y - intercept
(i) Let us determine the slope of the equation.
Since, the equation is of the form [tex]y=mx+b[/tex] where m is the slope
Thus, comparing the equation [tex]y=2x+1[/tex] with the general form [tex]y=mx+b[/tex], the slope is 2.
Thus, slope is [tex]m=2[/tex]
(ii) Now, we shall determine the x - intercepts.
The x - intercept can be determined by substituting [tex]y=0[/tex] in [tex]y=2x+1[/tex]
Thus, we have,
[tex]0=2x+1[/tex]
[tex]-1=2x[/tex]
[tex]\frac{-1}{2} =x[/tex]
Thus, the x - intercept is [tex]\left(-\frac{1}{2}, 0\right)[/tex]
(iii) The y - intercept can be determined by substituting [tex]x=0[/tex] in [tex]y=2x+1[/tex]
Thus, we get,
[tex]y=2(0)+1[/tex]
[tex]y=0+1[/tex]
[tex]y=1[/tex]
Thus, the y - intercept is [tex](0,1)[/tex]
