Answer:
s = 10w
Step-by-step explanation:
We can find the equation in slope-intercept form which is y = mx + b. The variables mean:
"b" - for the y-intercept (where the graph hits the y-axis)
"m" - for the slope (how steep the line is)
"x" and "y" - coordinates that satisfy the equation (points on the line)
From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.
To find the slope, "m", use the equation [tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.
Point 1 (0, 0) x₁ = 0 y₁ = 0
Point 2 (1, 10) x₂ = 1 y₂ = 10
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] Substitute values
[tex]m = \frac{10-0}{1-0}[/tex] Subtract to simplify
[tex]m = \frac{10}{1}[/tex] Simplify the fraction
m = 10 Slope of the line
Since we know "m" and "b", we can write the equation:
y = mx + b
y = 10x + 0
y = 10x
We are not using "x" and "y" in this case. Change them according to the question.
x => w
y => s
y = 10x => s = 10w
