Question

Find the slope intercept
x- 0 1 2 3 4
y- 9 14 19 24

Answer 1

The slope-intercept form of the given linear equation is y=5x+9.

To find the slope-intercept form of a linear equation (y = mx + b), where m is the slope and b is the y-intercept, we need to determine the values of m and b using the given data points.

Let's use the points (0, 9) and (1, 14) to find the slope (m):

`m = (y_2 - y_1)/(x_2 - x_1)`

m=
`(14 - 9 )/(1 -0 ) = (5)/(1) =5`

Now that we have the slope (m), we can use any of the given points to find the y-intercept (b). Let's use the point (0, 9):

y=mx+b

9=5(0)+b

b=9

Therefore, the slope (m) is 5, and the y-intercept (b) is 9. The equation in slope-intercept form is:

y=5x+9

So, the slope-intercept form of the given linear equation is y=5x+9.