Question

Give the slope and y - intercept for each of the following equations, then sketch the graph. Give the slope ofany line perpendicular to the given line.y =22 +5Slope =y - intercept = (0,_ ) Slope of a Line Perpendicular =

Answer 1

Answer:

The slope is 2.

The y-intercept is 5 or (0, 5)

See graph below

Step-by-step explanation:

Given:

y = 2x + 5

To find:

the slope, y-intercept, and plot a graph

To determine the slope and y-intercept, we will use the equation of line formula:

y = mx + b

m = slope

b = y-intercept

Comparing both equations:

y = y

2x = mx

m = 2

The slope = 2

5 = b

The y-intercept = 5

To plot the graph, we will assign values to x in order to get values to y that will be plotted:

let x = -4, 0, 4

when x = -4

y = 2(-4) + 5 = -3

when x = 0

y = 2(0) + 5 = 5

when x = 4

y = 2(4) + 5 = 13

Plotting the points:

Each line on the graph represents 1 unit