How do you graph #y=x+1# using slope intercept form?

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Answer 1 · 2017-12-04T14:25:35

Slope # = 1#

x intercept #= -1#

y intercept #=1#

Graph included as a part of our solution.

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We are given a linear equation in the slope-intercept form .

We have #color(red)(y = x + 1)# #.. color(green)(Equation.1)#

This is of slope-intercept form #color(blue)(y = mx + b)#

where #color(blue)m# is the slope.

In our problem, #Slope(m) = 1#

#color(blue)(b)# is the y-intercept.

In our problem, y-intercept # = 1#

To find the x-intercept we substitute #y = 0# in #.. color(green)(Equation.1)#

#0 = x + 1#

Hence, in our problem, x-intercept #= -1#

Hence our line will pass through two points #(-1,0) and (0,1)#

You may want to investigate the graph for a better understanding.