Question

Write the slope-intercept form of the equation of each line.

Answer 1

29) y = 1

31) y = x + 3

Explanation:

Basic information:

• slope intercept form is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept
• Slope is the change in y divided by the change in x
• The y-intercept is where the line intersects the y-axis

29) Horizontal lines have a slope of 0, so in y = mx + b, the equation simplifies to y = b. Given that the y-intercept is where the line intersects the y-axis, we can see that the line intersects through (0,1), meaning that b = 1. Therefore, the equation is y = 1.

31) First, let's find the slope. Since the slope is (change in y)/(change in x), let's pick two points such as (0,3) and (1,4). As you can see, we go up one and to the right by one, meaning that the slope is 1/1 or 1. However, when writing the equation, we can just leave it as x since 1x and x are the same thing. Lastly, the y-intercept is 3 because the line intersects with the y-axis at (0,3). Therefore, the equation is y = x + 3.

Answer 2

Answer:29) y=1

30) y=x+3

Explanation:

29- since the line is vertical it is moving by y, and the intercept is at 1 making the eqaution y=1

30- fill in y=mx+b, so begin by finding the "rise over run" because it moves to the right by 1 and goes up 1 (1/1) and 1 can be refred to just as x & the y-intercept is 3 so your equation is y=x+3