Solve 5x + 4y = 12 for y What does 12 for y mean?
You read that wrong. It should be read like this:
Solve this equation for the variable y:
5x + 4y = 12
Get the y-term by itself on the left by
adding -5x to both sides:
4y = -5x + 12
Divide every number by the coefficient of y,
which is 4:
y =
x +
y =
x + 3
y =
x + 3
What is the slope and y intercept of this line?
Rule:
For the equation of line
y = mx + b
the slope = m and the y-intercept is the point (0,b)
Compare
y =
x + 3
with y = mx + b
and you see that m =
and b = 3
so the slope = m =
and the
y-intercept = (0,b) = (0,3)
--------------------------------
What is the corresponding value of y when x=16.
Substitute 16 for x in
y =
x + 3
y =
(16) + 3
y = -20 + 3
y = -17
Edwin