Question

What is the slope and the point in `y=3+2(x-1)`?

Answer 1

Slope = 2
Point (1,3)

Explanation:

First you simplify the equation.

`y=3+2(x-1)`
`y=3+2x-2`
`y=1+2x`
`y=2x+1`

This is in the general form: `y=mx+b`
Where
m = gradient
b = shifts the graph up and down by "b" units

So the slope or gradient is 2
A point on the graph can be found by subbing in any numbers.
So I'm going to sub `x=1`. Then `y=2times1+1 = 3`. Your point is (1,3)

Answer 2

Slope `m = 2`, Point `(1, 3)`

Explanation:

Point-Slope form of equation is `(y - y - y_1 = m (x - x_1)`

Given equation is `y = 3 + 2(x - 1)`

`y - 3 = 2 * (x - 1)`, Rearranging terms.

Comparing the standard form of slope- point equation,

`m = 2, x_1 = 1, y_1 = 3`