Answer:
y = (-11/12)x - 3
Step-by-step explanation:
Recall that for a linear equation in the form y = mx + b,
m = slope and b = y-intercept.
hence to satisfy parts (a) and (b) of the questions, we need to extract the y-intercept from the equation in part (a) and the slope from part (b)
For part (a)
given: y+7x+3=0 (rearrange this to get slope-intercept form)
y+7x+3=0 (subtract 3 from both sides)
y + 7x = -3 (subtract 7x from both sides)
y = -7x - 3
we can see that the y-intercept is -3.
For part (b)
given: -11x -12y=-7 (rearrange this to get slope-intercept form)
-11x -12y=-7 (add 11x toboth sides)
-12y = 11x - 7 (divide both sides by -12)
y = (-11/12) - (7/12)
we can see that the slope is (-11/12).
combining the y-intercept from part (a) and the slope from part (b) into the general equation given in the first line above,
y = (-11/12)x - 3 (answer)
