Find the slope and the y-intercept of the line whose equation is given

Question

y=2/3x+1 this is the equation given 

Answer 1

In the slope intercept form (y=mx+b), m is the slope and b is the y-intercept. In your given equation, 2/3 is in the position of m and +1 is in the position of b. Slope is usually remembered to be "rise over run," and since the numerator is over the denominator, the numerator is how many units up or down to plot, and the denominator is how many units to move left or right. For 2/3, that would be 2 units up since it is positive two, and 2 units to the right, because it is positive three. You always move along the Y-axis (up and down) before moving along the X-axis (right and left). Again, "rise over run" is an easy way to remember that, rise (vertical) before running (horizontal). In conclusion, the slope is two-thirds (2/3) and the Y-intercept is at (0,1).