Question 1206947
you want to graph y = 3x - 2.
your slope is 3 and your y-intercept is -2, based on the equation.
here's the graph that i got using desmos.com/calculator.


<img src = "https://theo.x10hosting.com/2024/041601.jpg">


your equation is y = 3x - 2
the slope is 3.
the y-intercept is -2.
the y-intercept is at (0,-2)

the x-intercept is the value of x when y is 0.
the equation of y = 3x - 2 becomes 0 = 3x - 2
solve for x to get x = 2/3.
the x-intercept is at (2/3,0)


we have confirmed that the y-intercept is -2 and the x-intercept is 2/3.


the slope is (y2-y1)/(x2-x1).
when (x1,y1) = (0,-2) and (x2,y2) = (2/3,0), the slope becomes:
(0--2) / (2/3 - 0) which becomes 2/(2/3) which becomes 2*3/2 which becomes 3.
the slope is 3.


let me know if you have any questions.
theo