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

2 Answers
Lucy
May 20, 2018

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)

Kalyanam S.
Aug 8, 2018

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#

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