### Home > AC > Chapter 7 > Lesson 7.3.1 > Problem7-90

7-90.

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

1. $y=3x+5$

See the hint above.

$\text{slope}=3$
$y\text{-intercept}=\left(0,5\right)$

1. $y=\frac{5}{-4}x$

This equation is the same as:

$y=\frac{5}{-4}x+0.$

$\text{Slope }=\frac{5}{-4}x$
$y\text{-intercept}=\left(0,0\right)$

1. $y=3$

If there is no $x$-value in the equation, can there be a slope or is it $0$?

$\text{slope}=0$
$y\text{-intercept}=\left(0,3\right)$

1. $y=7+4x$

See part (a) and the first hint in the problem.

1. $3x+4y=-4$

Solve the equation for $y$. By doing this, you put the equation in $y = mx + b$ form.

Subtract by $3x$ on each side.

$4y=-3x-4$

Divide by $4$ on both sides.

$y=\frac{-3}{4}x-1$

1. $x+5y=30$

See part (e) and the first hint in the problem.