Question

I need to know how to find the slope so I can graph the equations but I don't know how. For example, what is the slope of y= 2x + 1 ?

Answer 1

The equation is y  = 2x  + 1

The equation is alredy in slope-intercept form y = mx + b , where m  is slope and b is y - intercept.

Compare the equation with slope-intercept form y = mx + b .

slope = 2 and y - intercept is 1.

y - intercept is 1, so the line crosses the y - axis at (0, 1)

Using slope find the next point.

Slope = rise/run = 2

Start at point (0, 1), move 2 units up and 1 unit right, then plot the point (1, 3).

Draw a line through these points.

Graph :

Slope of the line (m ) =  (change in y ) / (change in x ) = 2/1

m = 2