CPM Homework Help : AC Problem 7-90

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Home > AC > Chapter 7 > Lesson 7.3.1 > Problem 7-90

7-90.

Without graphing, identify the slope and $y$ -intercept of each equation below.

Hint:

$y=3x+5$
Hint (a):
See the hint above.
Answer (a):
$\text{slope}=3$
$y\text{-intercept}=\left(0,5\right)$

$y=\frac{5}{-4}x$
Hint (b):
This equation is the same as:
$y=\frac{5}{-4}x+0.$
Answer (b):
$\text{Slope }=\frac{5}{-4}x$
$y\text{-intercept}=\left(0,0\right)$

$y=3$
Hint (c):
If there is no $x$ -value in the equation, can there be a slope or is it $0$ ?
Answer (c):
$\text{slope}=0$
$y\text{-intercept}=\left(0,3\right)$

$y=7+4x$
Hint (d):
See part (a) and the first hint in the problem.

$3x+4y=-4$
Hint 1(e):
Solve the equation for $y$ . By doing this, you put the equation in $y = mx + b$ form.
Hint 2(e):
Subtract by $3x$ on each side.
See this step 1(e):
$4y=-3x-4$
Hint 3(e):
Divide by $4$ on both sides.
See this step 2(e):
$y=\frac{-3}{4}x-1$

$x+5y=30$
Hint (f):
See part (e) and the first hint in the problem.

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