what is y=5x+2

Question

step by step

Answer 1

y = 5x + 2
This is the equation of a line in what is known as "slope intercept form."
That form is  y = mx + b  where m is the slope of the line and b is the y-intercept

The y -intercept is the point where the graph of the line crosses the y-axis at (0,b)
 
Thus, y=5x+2 is a line with slope m=5 and y-intercept at (0,2)

 

You can graph the line by plotting 2 or more points and connecting them to form a straight line

 

We have (0,2) and need one more point to draw the line...

With a slope of 5 which is rise/run  we can go right one unit and up 5 from (0,2) giving (1,7)

We could also go left 1 digit and down 5 giving the point (-1,-3)

 

So we have 3 points already we can use... (0,2), (1,7), (-1,-3)...

Plot those, connect them in a straight line and the graph is done

Answer 2

If you are looking for points on this line, we can use the slope and the y-intercept of the equation.  The slope is the distance of the y coordinates between two points over the distance of the x coordinate between two points.  The y-intercept is the point on the y-axis and has an x coordinate of 0.

 

The first point will be easy to find because this will be the y-intercept.

 

Point 1 = (0, 2)

 

We use the slope and this point to find the next point.  Move 1 unit to the right, then move 5 units up from the y-intercept.  This is a positive slope.

 

Point 2 = (1, 7)

 

Keep repeating this step using the preceding point to get the other point.  When you connect these points, you will get a straight line.

Answer 3

y=5x+2 could be a line equation.

 

Can you specify what you are looking for?