Question

Find the equation of the line with y-intercept -3 through (-6,-7). Give standard form answer

Answer 1

Answer:

Step-by-step explanation:

hello : let the equation  y =ax+b

when x = 0  and y = -3 :  -3=a(0)+b

so b= -3

when  x = - 6  and y = -7:  -7=a(-6)-3

6a=4   so : a=4/6=2/3

the equation is ; y =(2/3)x -3

verify ; 1) y-intercept -3  : for x=0 :

y =(2/3)(0)-3 = -3

2) passes through (-6,-7) : for x =-6

y = (2/3)(-6)-3 =-12/3 - 3 = -4-3=-7

Answer 2

( look at the picture sent first) the gradient should be -2/3. you already know the y intercept, which is -3. therefore, the equation is
y=-2/3x -3