a line has an equation of y+ -x + 6. What are the slople and the y intercept
The equation y+ -x + 6 can be rewritten as y = -x + 6.
The slope of the line is the coefficient of the x-term, which is -1.
The y-intercept is the constant term, which is 6.
Therefore, the slope of the line is -1, and the y-intercept is 6.
To determine the slope and y-intercept of a line given its equation, we need to rewrite the equation in slope-intercept form, which has the form y = mx + b, where m represents the slope and b represents the y-intercept.
The equation is given as y + -x + 6.
To rewrite it in slope-intercept form, we need to isolate y on one side of the equation. Let's rearrange the terms:
y - x + 6 = 0
Now, add x to both sides of the equation to isolate y:
y = x - 6
Comparing this equation to y = mx + b, we can see that the slope (m) is 1, and the y-intercept (b) is -6.
Therefore, the slope of the line is 1, and the y-intercept is -6.
To find the slope and y-intercept of a line when given its equation, we need to put the equation in slope-intercept form, which is in the form y = mx + b. In this form, the coefficient of x represents the slope (m), and the constant term represents the y-intercept (b).
The given equation y + -x + 6 can be rewritten as y = -x + 6 by rearranging terms.
Now, we can identify the slope and y-intercept:
- The coefficient of x, which is -1, represents the slope of the line.
- The constant term, which is 6, represents the y-intercept of the line.
Therefore, the slope of the line is -1, and the y-intercept is 6.