Step-by-step explanation:
1. y = -7x + 2
this is a slope-intercept form (it shows the slope of the line and the intercept with the y-axis).
in general : y = ax + b
the slope (the ratio "y coordinate change / x coordinate change" when going from one point to another) is the factor of x : -7
the y-intercept is the y value of the line, when x = 0 : +2
2. y + 2 = 2/3 × (x - 5)
this a point-slope form (it uses the slope of the line and the coordinates x1, y1 of one point on the line).
in general : y - y1 = a(x - x1)
the slope here is 2/3.
the point the line contains used for this definition is (5, -2)
