To write an equation for a line through the points in slope-intercept form, we must find it's y-intercept, b, and slope, m.
y=mx+b
Examining the diagram, we see that the line intercepts the y-axis at y=5. This means b=5. The slope of a line is the ratio of the vertical distance to the horizontal distance between two points on the graph. Let's measure that in our diagram.
The graph has a slope of m=12. Now we can write the complete function.
y=1/2x+5
b Like in Part B, we will start by plotting the points in a coordinate plane.
Notice that the distance of any vertical segment is simply the difference between the endpoint's y-coordinates.
d=4-(-1)=5
Any vertical line can be written as x=a where a represent the x-coordinate through which the line passes. In this case, we get the equation x=3.
c Like in Parts A and B, we will first plot the points in a coordinate plane.
To find the distance between these points, we can use the Distance Formula.
To write an equation for a line through the points in slope-intercept form, we must find it's y-intercept, b, and slope, m.
y=mx+b
Examining the diagram, we see that the line intercepts the y-axis at y=2.5. This means b=2.5. Let's also find the slope in our diagram.
The graph has a slope of m=- 52. Now we can write the complete function.
y=- 52x+2.5
d Like in previous parts, we will start by plotting the points in a coordinate plane.
The distance of any horizontal segment is the difference between the endpoint's x-coordinates.
d=5-1=4
A horizontal line can be written as y=a where a represent the y-coordinate through which the line passes. In this case, we get the equation y=-2.
