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

May 20, 2018

Slope = 2
Point (1,3)

#### Explanation:

First you simplify the equation.

$y = 3 + 2 \left(x - 1\right)$
$y = 3 + 2 x - 2$
$y = 1 + 2 x$
$y = 2 x + 1$

This is in the general form: $y = m x + b$
Where
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 $y = 2 \times 1 + 1 = 3$. Your point is (1,3)

Aug 8, 2018

Slope $m = 2$, Point $\left(1 , 3\right)$

#### Explanation:

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

Given equation is $y = 3 + 2 \left(x - 1\right)$

$y - 3 = 2 \cdot \left(x - 1\right)$, Rearranging terms.

Comparing the standard form of slope- point equation,

$m = 2 , {x}_{1} = 1 , {y}_{1} = 3$