Re- writing -2x + 7y = -21
7y = 2x -21
To get the x-intercept, we will substitute the value of y =0
0 = 2x - 21
collecting like terms and making x the subject of the formula
2x = 21
divide both sides by 2 (coefficient of x)
x = 21/2
x-intercept => (21/2, 0)
To get the y-intercept, we will substitute the value of x = 0
7y = 0 - 21
7y = -21
Divide both sides by 7 (coefficient of y)
y = -21/7
y = -3
y-intercept=> (0, -3)