Graph the following equation; calculate the slope, x-itercept, and y-intercept and label intercepts y = x + 3

Question

Graph the following equation; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
y = x + 3

Answer 1

The slope intercept of a line is y = mx+b
m is the slope and b is the y-intercept.
In y = x + 3, the number attached to the x is 1, so m = 1 (slope = 1).
The number not attached to the x is the y-intercept, which is b = 3.
Notice a useful fact about intercepts:
On the x-axis, y = 0.
This at the x-intercept (where the graph crosses the x-axis, y must be zero.
Thus, stick 0 in for y:
0 = x + 3
x = -3, so this is the x-intercept.
Similarly:
On the y-axis, x = 0.
This at the y-intercept (where the graph crosses the y-axis, x must be zero.
Thus, stick 0 in for x:
y = 0 + 3
y = 3, so this is the y-intercept (as we saw before).
The graph is as the fellow above me describes quite well.

Answer 2

Hello

Using the fact that the equation is in slope-intercept form now, where the coefficient of x (1) is the slope and the constant 3 is the y-intercept you can now put a point on the y-axis at 1 and knowing that the slope is the (change in y) /(change in x) we have that slope = 1/1 so form the point (0,1) (the y-intercept) go up 1 and right 1 to get to another point so we have (1,2) and then to find the x-intercept put in 0 for y giving us 0 = x + 3 or x = -3 so (-3,0) is the x-intercept.

Hope This Helps!!

Answer 3

Y intercept is -2 X intercept is 3 I couldn't calculate the slope sorry. hope that helps though

Answer 4

straight line at 45 degree (slope of 1) angle passing x axis at -3 and y axis at 3

Answer 5

Ken's right use Y= mx + B

B is your x intercept
m is your slope

have fun!