Question 148190
equation: y=3x-5
3points: ?
Slope: ?
x intercept: ?
y intercept: ?


The y intercept and the slope are given in the equation.  y=mx+b is slope-intercept form. mx is the slope and b is the y intercept. so in y=3x-5, 3x is the slope and -5 is the y intercept (what y is when x is zero).


equation: y=3x-5
3points: ?
Slope: 3x
x intercept: ?
y intercept: -5


To find the x intercept, find what x is when y is zero.  That means take the original equation and plug in zero for y. Like so: 0=3x-5.  Then solve for x and get 5/3.  That is the x intercept.


equation: y=3x-5
3points: ?
Slope: 3x
x intercept: 5/3
y intercept: -5


To find three points, plug in another value for x. You already have two points, the y-intercept (0,-5) and the x-intercept (5/3,0). Plug in one more value for x or y.  How about x=3? y=3(3)-5 or y=9-5. y=4. So your third point would be (3,4)



equation: y=3x-5
3points: (0,-5) (5/3,0) (3,4)
Slope: 3x
x intercept: 5/3
y intercept: -5


Graph:
*[invoke describe_linear_equation -3, 1, -5]