Y - intercept/X - intercept: when talking about y-intercept, you are finding where x = 0, and when finding the x-intercept, you are finding where y = 0.
Here, the y-intercept is -3 (look where x is 0)
Slope: To find the slope, take any 2 points and use the equation:
Y2 - Y1 ————— = m; m is the slope. X2 - X1
As an example, I will take (1, -1) and (2, 1). Y2 = 1 Y1 = -1 X2 = 2 X1 = 1
1 - (-1) 1+ 1 ————— = ————— = 2/1 = 2 2 - 1 1
2 is the slope. Or, observe how y always increases by 2 for every x (rise/run)
Equation: Now, since we found the slope (2) and the y intercept, simply plug in the numbers into the linear equation form (y = mx + b). You should know that m means the slope and b means the y intercept. Meaning the equation is...