y-4=3(x-2) graph
To graph the equation y-4=3(x-2), we can start by rearranging the equation and solving for y:
y - 4 = 3(x - 2)
y - 4 = 3x - 6
y = 3x - 6 + 4
y = 3x - 2
Now, we can plot the graph:
First, locate the y-intercept which is -2. This means that the graph passes through the point (0, -2).
Second, find another point on the graph by choosing any x value and substituting it into the equation. Let's choose x = 1.
y = 3(1) - 2
y = 3 - 2
y = 1
This gives us the point (1, 1).
Now, we can plot these two points and draw a straight line through them.
user point slope for y-4=3(x-2)
The equation y-4=3(x-2) is already in point-slope form.
The point-slope form of an equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
In this equation, the point (2, 4) is on the line, and the slope is 3. Therefore, the point-slope form of the equation is y - 4 = 3(x - 2).
use point-slope for (1,13),(-2,4)
To use the point-slope form, we need a point (x1, y1) on the line and the slope (m). We can use the two given points (1, 13) and (-2, 4) to find the slope:
slope (m) = (change in y) / (change in x)
= (y2 - y1) / (x2 - x1)
Using (1,13) as (x1, y1) and (-2,4) as (x2, y2), the slope can be calculated as:
m = (4 - 13) / (-2 - 1)
= -9 / -3
= 3
Now, we can use one of the given points and the calculated slope to write the equation in point-slope form. Let's use (1, 13):
y - y1 = m(x - x1)
y - 13 = 3(x - 1)
so it can be y-1=3(x-13)
No, that's not correct. We already determined that the slope is 3 using the points (1, 13) and (-2, 4).
Using the point-slope form with the point (1, 13) and slope 3, the equation should be:
y - y1 = m(x - x1)
So, plugging in the values (x1, y1) = (1, 13) and m = 3, we get:
y - 13 = 3(x - 1)
Thus, the correct equation in point-slope form is: y - 13 = 3(x - 1)
simplify it
To simplify the equation y - 13 = 3(x - 1), we can distribute the 3 on the right side:
y - 13 = 3x - 3
Next, we can rearrange the equation to isolate y on one side:
y = 3x - 3 + 13
Simplifying further, we have:
y = 3x + 10
So, the simplified equation in slope-intercept form is y = 3x + 10.
here are the answers i got
y-4=3(x-2)
y-1=3(x-13)
y-4=3(x+2)
y-2=3(x-4)