Question

Find the slope x intercept and y intercept of the line y equals 2x + 1​

Answer 1

(i) Slope is $m=2$

(ii) x - intercept is $\left(-\frac{1}{2}, 0\right)$

(ii) y - intercept is $(0,1)$

Explanation:

The given equation is $y=2x+1$

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 $y=mx+b$ where m is the slope

Thus, comparing the equation $y=2x+1$ with the general form $y=mx+b$, the slope is 2.

Thus, slope is $m=2$

(ii) Now, we shall determine the x - intercepts.

The x - intercept can be determined by substituting $y=0$ in $y=2x+1$

Thus, we have,

  $0=2x+1$

$-1=2x$

$\frac{-1}{2} =x$

Thus, the x - intercept is $\left(-\frac{1}{2}, 0\right)$

(iii) The y - intercept can be determined by substituting $x=0$ in $y=2x+1$

Thus, we get,

$y=2(0)+1$

$y=0+1$

$y=1$

Thus, the y - intercept is $(0,1)$