Step-by-step explanation:
the slope-intercept form is
y = ax + b
"a" is the slope (the slope is in all forms the factor of x). and "b" is the y-intercept (the y value when x = 0).
so the first equation is
y = -5x + b
b we get by using the point coordinates :
-22 = -5×5 + b = -25 + b
b = 3
so, the full equation is
y = -5x + 3
for the second equation we need to calculate the slope first. remember, it is the ratio "y coordinate change / x coordinate change" :
x changes by +1 (from -4 to -3).
y changes by +7 (from -2 to 5).
the slope is +7/+1 = 7/1 = 7.
the equation looks like
y = 7x + b
again, we use the coordinates of a point to get b. I picked (-4, -2) :
-2 = 7×-4 + b = -28 + b
b = 26
and the full equation is
y = 7x + 26
