1. You can find the slope of the line either by using the slope formula and finding 2 points on the graph:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Or you can use this formula:
[tex]m = \frac{rise}{run}[/tex]
"m" is the slope, "rise" is when you go up or down, "run" is when you go left or right.
If you look on the graph, you are going up 3 units, and to the right 2 units for you to reach the next point. Your slope is 3/2.
If you want to use the slope formula, you can use the points (-5,0) and (-3,3), but you can use any points:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m = \frac{3-0}{-3 - (-5)}[/tex]
[tex]m = \frac{3 - 0}{-3+5 }=\frac{3}{2}[/tex]
2. The y-intercept of the line is when x = 0, the y-intercept is 7.
3. y = mx + b
"m" is the slope, "b" is the y-intercept
y = 3/2x + 7
4. I looked up multiple sources and it said that for a graph to represent a proportional relationship, the line has to pass through the origin(0,0), or the y-intercept has to be 0.
"A proportional linear relationship between two variables, x and y, takes on the form y = mx. In other words, in a proportional linear relationship equation, b = 0. This tells us that the y-intercept of the graph of a proportional linear relationship is 0, so the graph crosses the y-axis at the point (0, 0), or the origin. A non-proportional linear relationship takes on the form y = mx + b, where b ≠ 0. Thus, the y-intercept is not at the origin of the graph." - quote I found
"If the relationship between “x” and “y” is proportional, it means that as “x” changes, “y” changes by the same percentage. Therefore, if “x” grows by 10 percent of “x,” “y” grows by 10 percent of “y.” To put it algebraically, y = mx, where “m” is a constant."
The graph is proportional
