Question

The graph of a linear function passes through the point (2,5) and a slope of 3

Answer 1

The equation of the linear function is: y=3x-1 .

Find the y-intercept:

Given - (2,5)

(x,y)

m=3

Equation:

y=mx+b

Triangle:

(x,y)=(2,5)

m=3

Y-intercept:

y-intercept = b

Since the graph of the linear function passes through the point (2,5), we can substitute these values into the equation to find the value of b.

5=3*2+b

b=-1

Therefore, the equation of the linear function is:

y=3x-1

The y-intercept of this function is -1.

Answer 2

`y=3x-1`

Explanation:

The point slope form of a line is
`(y-y_1)=m(x-x_1)` where
`x_1=2\\y_1=5`. We write

`(y-5)=3(x-2)`

Convert point slope form to slope intercept form by simplifying and rearranging.

`y-5=3(x-2)\\y-5=3x-6\\y=3x-1`