Question

for the function whose graph is shown below which is the correct formula for the function

y= -x - 1
y= x + 1
y= -x + 1
y= x - 1

Answer 1

The slope is positive, as y is increasing as x goes towards the right.

The line crosses the y-axis at (0,1), so its y-intercept will be 1.

The answer is 'y= x + 1'.

Answer 2

Answer:

Option B is correct.

y = x+1

Step-by-step explanation:

Point slope form:

The equation of straight line is given by:

$y-y_1=m(x-x_1)$ .....[1] where m is the slope of the line and a point $(x_1, y_1)$ lies on the line in the  coordinate plane.

From the given graph:

Consider any two points i.e:

(0,1) and (-1, 0)

Calculate slope:

Slope(m) = $\frac{y_2-y_1}{x_2-x_1}$

Substitute the given values we have;

$m = \frac{0-1}{-1-0} = \frac{-1}{-1} = 1$

Substitute the given values of m and (0, 1) in [1] we have;

$y-1=1(x-0)$

y-1 = x

Add 1 to both sides we have;

y = x+1

Therefore, the function whose graph is shown below which is correct formula for the function is y = x+1