To find the equation of the line y = mx through the origin that describes the proportional relationship shown in the graph, we need to determine the value of the slope m.
In a proportional relationship, the ratio of y to x is constant. Therefore, the slope of the line y = mx represents this constant ratio.
Looking at the graph, we can see that the line passes through the origin, which means that the y-intercept is 0. This indicates that the equation of the line is in the form y = mx, where m is the slope.
To find the slope, we can pick any two points on the line (0, 0) and another point (x, y) where x and y are the coordinates of the second point. The slope is given by the difference in the y-coordinates divided by the difference in the x-coordinates.
Let's choose the point (2, 3) on the line:
slope m = (y2 - y1) / (x2 - x1)
m = (3 - 0) / (2 - 0)
m = 3/2
m = 1.5
Therefore, the equation of the line that describes the proportional relationship shown in the graph is y = 1.5x.
find the equation of the line y =mx through the origin that describes the proportional relationship shown in the graph
3 answers
Wrong
The dot is at 2,8
1 answer