Question how to find the answer

Question

what is the slope-intercept equation for (0,2) and (5,4)

Answer 1

Hi Zahmari,

m= slope = (y2-y1)/(x2-x1)

m= (4-2)/(5-0) = 2/5

Now, you can plug m and the coordinates of either point into the slope-intercept equation:

y= mx + b

Using (0,2)

2= (2/5)(0)+b

b=2

Equation:

y= (2/5)x + 2

I hope this helps.

Answer 2

The slope-intercept equation of a line is given by y = mx+b where m is the slope and b is the y-intercept.

If given 2 points, you can find the slope of the line containing those two points by calculating the change in the y-values (the "rise") divided by the change in the x-values (the "run").

In this case, the change in y values is 4 - 2 = 2 and the change in x values is 5 - 0 = 5.

The y-intercept, b, is the value of y when x = 0. In general, it can be found by solving the equation y = mx + b for one of the given points, using the point's x and y values and the m calculated in the previous step. For example, using the point (0,2): 2 = m * 0 + b and solve for b.