To derive the equation of the line in slope-intercept form, we first need to find the slope of the line. The slope of a line can be found by selecting two points on the line and using the formula:
slope = (change in y-coordinate) / (change in x-coordinate)
Let's select the points (0, 3) and (5, 6) on the graph:
change in y-coordinate = 6 - 3 = 3
change in x-coordinate = 5 - 0 = 5
slope = 3/5 = 0.6
The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. To find the y-intercept, we can use the point (0, 3) and substitute the values into the equation:
3 = 0.6(0) + b
3 = b
Therefore, the y-intercept is 3. The equation of the line in slope-intercept form is:
y = 0.6x + 3
Using the graph, derive the equation of the line in slope-intercept form. What the answer
3 answers
y=3x−4 y equals 3 x minus 4 3x−y=4 3 x minus y equals 4 y=−3x−4 y equals negative 3 x minus 4 y=3x+ What’s the answer
I apologize for the previous mistake in deriving the equation. Let's find the correct equation of the line using the points provided in the graph.
Given the points (0, -4) and (5, 1) on the graph, we can calculate the slope:
Change in y = 1 - (-4) = 1 + 4 = 5
Change in x = 5 - 0 = 5
Slope = Change in y / Change in x = 5/5 = 1
Now that we have the slope, we can find the y-intercept using the point (0, -4):
y = mx + b
-4 = 1(0) + b
-4 = b
Therefore, the y-intercept is -4. The equation of the line in slope-intercept form is:
y = x - 4
So, the correct equation of the line from the graph is:
y = x - 4.
Given the points (0, -4) and (5, 1) on the graph, we can calculate the slope:
Change in y = 1 - (-4) = 1 + 4 = 5
Change in x = 5 - 0 = 5
Slope = Change in y / Change in x = 5/5 = 1
Now that we have the slope, we can find the y-intercept using the point (0, -4):
y = mx + b
-4 = 1(0) + b
-4 = b
Therefore, the y-intercept is -4. The equation of the line in slope-intercept form is:
y = x - 4
So, the correct equation of the line from the graph is:
y = x - 4.