Answer:
1. y = 5x
Explanation:
Slope-intercept form is one of the most common ways to represent a line.
Slope-intercept Form
Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.
Slope is defined as rise over run. This means that the slope is equal to the change in y divided by the change in x. For example, if the slope is 3, then y will increase by 3, and x will increase by 1.
The y-intercept is the y-value where the line intersects with the y-axis. For example, if the y-intersect is 4, then the graph will intersect with the y-axis at (0, 4).
Effects on the Graph
Different slope and y-intercept values affect the way a graph looks. If the slope is positive, then the line will tilt to the right (/). On the other hand, if the slope is negative, then the line will tilt to the left (\). Additionally, the larger the absolute value of the slope, the steeper the line will be.
The y-intercept also changes how the graph looks. If the y-intercept is positive, then the graph will be shifted above the origin. If the y-intercept is negative, then the graph will be shifted below the origin.
Finding the Equation
By looking at the graph, we can see that the line is tilted to the right; thus the slope must be positive. Additionally, the line is not shifted above or below the origin. So, the y-intercept is zero. The only equation that matches this is y = 5x.