To find the equation of the line that describes the proportional relationship shown in the graph, we need to determine the value of the constant of proportionality.
The equation of the line passing through two points (x₁, y₁) and (x₂, y₂) can be expressed as:
(y - y₁) = m(x - x₁)
Given the points (1, 4) and (2, 8), we can substitute these values into the equation:
(8 - 4) = m(2 - 1)
4 = m(1)
m = 4
Therefore, the value of the constant of proportionality 'm' is 4.
The equation of the line y = mx through the origin is obtained by substituting the slope (m) into the equation:
y = 4x
Hence, the equation of the line that describes the proportional relationship shown in the graph is y = 4x.
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
graph portions; (1,4) and (2,8)
3 answers
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)
(1 point)
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)
(1 point)