Find an equation of line that satisfies the given conditions
X- intercept -6
Y- intercept. 9
To find the equation of the line that satisfies the given conditions, we can use the slope-intercept form of a line: y = mx + b, where m is the slope and b is the y-intercept.
Given that the x-intercept is -6, this means that when y = 0, x = -6.
So, we have the point (-6, 0).
Given that the y-intercept is 9, this means that when x = 0, y = 9.
So, we have the point (0, 9).
To find the slope (m), we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) = (-6, 0) and (x2, y2) = (0, 9).
m = (9 - 0) / (0 - (-6))
m = 9 / 6
m = 3/2
Now that we have the slope (m = 3/2) and the y-intercept (b = 9), we can write the equation of the line:
y = (3/2)x + 9
To find the equation of a line that satisfies the given conditions, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Given:
X-intercept = -6
Y-intercept = 9
The x-intercept occurs when y = 0, so we can substitute these values into the equation:
0 = m(-6) + 9
Simplifying the equation, we have:
0 = -6m + 9
To solve for m, we can add 6m to both sides of the equation:
6m = 9
Next, we can divide both sides of the equation by 6 to isolate m:
m = 9/6
m = 3/2
Now that we have the slope (m), we can substitute it into the slope-intercept form along with the y-intercept (b) to get our final equation:
y = (3/2)x + 9