If (2,0) and (0,5) are points on the graph of y = mx +b, what are m and b?
You posted a similar question a while ago: http://www.mathhelpforum.com/math-he...d-value-k.html. The method shown to you there is the same as the method required here .... The current question requires you to do the same thing - twice - to get two equations:
Substitute each point into the equation. Get two equations in the unknowns m and b. Solve the two equations simultaneously for m and b.
m represents the slope of the line whose graph is y=mx+b.
b represents the y-intercept of the line whose graph is y=mx+b.
The y-intercept is already given to you in the point (0,5). Therefore, b=5.
m can be found using the slope formula:
Given $\displaystyle (x_1, y_1) \ \ and \ \ (x_2, y_2)$
$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$
Use your two points to substitute in the above formula to solve for m.