how would i graph this?
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Do you have to solve it graphically? If so, pick two points for x, plug them each into this equation, one at a time, and see which two y values you get. For example, if I pick 0 and 1 for x:
y = x + 1
y = (0) + 1
y = 1
y = (1) + 1
y = 2
When I plug in 0 for x, I get 1 for y. So I know the point (0,1) is one the line, and I'll plot that point on a coordinate plane.
When I plug in 1 for x, I get 2 for y. So I know (1,2) is also on the line, and I'll plot that. Drawing a line between these two points and extending it in both directions results in a line graph of this function. Check the y-value when the line crosses the y-axis.
If you don't have to solve it graphically, there is a much easier way to do this: Simply plug in 0 for x, and find the resulting y. x is always 0 when the function intersects the y axis (because it's not left or right at all), so the resulting y will be:
y = x + 1
y = (0) + 1
y = 0
There is, in fact, an even easier way to find the y-intercept. Since the function y = x + 1 is in the form y = mx + b, slope-intercept form, where m is slope and b is y-intercept, just use b for the y-intercept, in this case, 1. If you haven't learned about slope-intercept form yet, don't worry about solving it this way.
y = x + 1
y = (0) + 1
y = 1
y = (1) + 1
y = 2
When I plug in 0 for x, I get 1 for y. So I know the point (0,1) is one the line, and I'll plot that point on a coordinate plane.
When I plug in 1 for x, I get 2 for y. So I know (1,2) is also on the line, and I'll plot that. Drawing a line between these two points and extending it in both directions results in a line graph of this function. Check the y-value when the line crosses the y-axis.
If you don't have to solve it graphically, there is a much easier way to do this: Simply plug in 0 for x, and find the resulting y. x is always 0 when the function intersects the y axis (because it's not left or right at all), so the resulting y will be:
y = x + 1
y = (0) + 1
y = 0
There is, in fact, an even easier way to find the y-intercept. Since the function y = x + 1 is in the form y = mx + b, slope-intercept form, where m is slope and b is y-intercept, just use b for the y-intercept, in this case, 1. If you haven't learned about slope-intercept form yet, don't worry about solving it this way.
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put x =0 so you get y=1
to graph this u find the x intercept i.e y=0 you get x=-1
plot these both points (0,1) and (-1,0)
and then just join these points to get the line
to graph this u find the x intercept i.e y=0 you get x=-1
plot these both points (0,1) and (-1,0)
and then just join these points to get the line
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The y intercept is found by setting x = 0.
When x = 0 then y = 1
When x = 0 then y = 1
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Intercept is 1! So make a point at (0,1).
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the y-intercept is 1. the slope would be 1/1 .