find the slope-intercept equation of the line that has given characteristics
slope = 3 and y-intercept is (0,9)
the slope equation is y=
how do I start this? I don't know why I always freeze up.. can someone please help me?
would this be y=3x+9?
It would!
thanks Jim
Of course, I'll be happy to help you step-by-step. Don't worry, I've got your back!
To find the slope-intercept equation of a line, we can start with the slope-intercept form:
y = mx + b
where 'm' represents the slope and 'b' represents the y-intercept. In this case, the slope (m) is given as 3, and the y-intercept (0,9) tells us that the y-coordinate is 9 when x-coordinate is 0.
Now, let's substitute the given values into the equation:
y = 3x + b
To determine the value of 'b', we'll use the y-intercept. Since the y-coordinate is 9 when x-coordinate is 0, we can plug in these values:
9 = 3(0) + b
Simplifying this equation gives us:
9 = b
So, we have found that the value of 'b' is 9.
Now, let's substitute the values of 'm' and 'b' into the slope-intercept form:
y = 3x + 9
And that's it! The slope-intercept equation for the line with a slope of 3 and a y-intercept of (0,9) is y = 3x + 9.
I hope this explanation helps you understand the solution better. Feel free to ask if you have any further questions!