A line intersects the point (-22, -14) and (-18, -12). What is the slope intercept equation for this line?

Step-by-step explanation:

To write an equation in slope-intercept form with the given information, first write the equation in point-slope form, then transfer it to slope-intercept form.  

1) First, find the slope. Using the x and y values of the two points given, substitute them in the correct order into the slope formula   and solve:

Thus, the slope is .

2) Now that we know the slope and at least one point the line intersects, use the point-slope form .

Since represents the slope, substitute it for   in the equation. Since and represent the x and y values of one point the line intersects, substitute the x and y values of one of the given points into the equation as well. (Either point is fine, and I chose (-18, -12) as seen below.) Afterwards, isolate y to get the following answer and equation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

2 1/2 feet

step-by-step explanation: