Rewrite y - 3 = -9(x - 1) in standard form.
2 answers:
Answer:
9x + y = 12
Step-by-step explanation:
Hi there!
We are given the equation y - 3 = -9(x-1) and we want to write it in standard form
The equation is currently in point-slope form, which is , where
is a point and m is the slope. Standard form is ax + by = c, where a, b, and c are free integer coefficients
We can first convert the equation from point-slope form into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We can distribute 9 to every term on the right side:
y - 3 = -9x + 9
Now add 3 to both sides
y = -9x + 12
Now the equation is in slope-intercept form (y=mx+b). To make it standard form, add 9x to both sides, to make the form ax + by = c .
9x + y = 12
Hope this helps!
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Answer:
Point of x-intercept: (2,0).
Point of y-intercept: (0,6).
Step-by-step explanation:
1. Finding the x-intercept.
This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:
Hence, the point of x-intercept: (2,0).
2. Finding the y-intercept.
This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:
Hence, the point of y-intercept: (0,6).