Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope, b is the y-intercept (when x=0).
1.
is already defined
y = -2x + 6
2.
the slope is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
(-3, -5) and (2, 5).
x changes by +5 units (from -3 to 2), y changes by +10 units (from -5 to +5).
so, the slope is 10/5 = 2
that gives us the first part of the equation :
y = 2x + b
we get b by using the coordinates of one of the points as x and y. e.g. (2, 5)
5 = 2×2 + b = 4 + b
1 = b
so, the full line equation is
y = 2x + 1
