Question

identifying slopes and y-intercepts find the slope and the
y-intercept of the graph of the linear equation.

1. $y = 4x - 5$ 15. $y = -7x + 12$ 16. $y = -\frac{4}{5}x - 2$
2. $y = 2.25x + 3$ 18. $y + 1 = \frac{4}{3}x$ 19. $y - 6 = \frac{3}{8}x$
3. $y - 3.5 = -2x$ 21. $y = -5 - \frac{1}{2}x$ 22. $y = 11 + 1.5x$

Explanation:

Let's solve each problem step by step using the slope - intercept form of a linear equation, which is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

Problem 14: $y = 4x-5$

Step 1: Identify $m$ and $b$

In the equation $y = mx + b$, comparing with $y = 4x-5$, we have $m = 4$ and $b=- 5$.

Answer:

Slope: $4$, $y$-intercept: $-5$

Problem 15: $y=-7x + 12$

Step 1: Identify $m$ and $b$

Comparing with $y=mx + b$, we get $m=-7$ and $b = 12$.