Question

Need help on this math question!!!

Answer 1

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  $m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. 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

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$          Substitute values

$m = \frac{10-0}{1-0}$          Subtract to simplify

$m = \frac{10}{1}$          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