Question

Directions - Identify the key components and then create a slope-intercept equation for the following graph.

Answer 1

m= -4/3

b = 1

equation is;

y = -4/3(x) + 1

Explanation:

The general equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

From the graph, we can see that the y-intercept is y = 1; so the value of b is 1

We have the equation now as;

y = bx + 1

To get b, we consider a point on the line

The point we are considering is the point (3,-3)

In the incomplete equation, we substitute the coordinates of this point

We have this as;

-3 = m(3) + 1

-3-1 = 3m

3m = -4

m = -4/3

So the equation is;

y = -4/3(x) + 1