Question

20pts!!!!.... What is the slope-intercept equation for the line below?

Answer 1

Identify any two coordinates on the graph:

⇒ (0, 1) and (4, 3)

Find the Slope :

Slope = (y2 - y1) / (x2 - x1)

Slope = ( 3 - 1) / (4 - 0) = 2/4 = 1/2

Find the y-intercept:

From the graph, the line cuts the y-axis at y = 1

⇒ y intercept = 1

Form the slope-intercept equation:

equation : y = mx + c

⇒ y = 1/2 x + 1

Answer: (d)  y = 1/2 x + 1

Answer 2

Initially identify any two coordinates on the graph: i.e. (0, 1) and (4, 3).

Now find the slope => Slope = (y2 - y1) / (x2 - x1) => ( 3 - 1) / (4 - 0) = 2/4 = 1/2.

Now find the y intercept, in the graph, the line cuts the y-axis at y = 1⇒ y intercept = 1.

Form the equation of slope intercept: equation: y = mx + c ⇒ y = 1/2 x + 1.

So the answer for this question is y = 1/2 x + 1.