Answer:
Explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of a line is a measure of how steep the line is, and it is defined as the change in y divided by the change in x between any two points on the line. In other words, if we choose two points (x1, y1) and (x2, y2) on the line, then the slope of the line is:
m = (y2 - y1) / (x2 - x1)
The y-intercept of a line is the point where the line crosses the y-axis. In other words, it is the value of y when x = 0. To find the y-intercept of a line given in slope-intercept form, we simply look at the constant term (the term with no x) in the equation.
In the given equation, y = -6x - 7, we can see that the coefficient of x is -6, which means that the slope of the line is -6. This tells us that as we move along the line from left to right, the y-value will decrease by 6 units for every 1 unit that the x-value increases. In other words, the line is sloping downwards from left to right.
To find the y-intercept of the line, we look at the constant term, which is -7. This tells us that when x = 0, y is equal to -7. So the y-intercept is the point (0, -7), which means that the line crosses the y-axis at the point (0, -7).
To summarize, the slope of the line y = -6x - 7 is -6, which means that the line is sloping downwards from left to right. The y-intercept of the line is (0, -7), which means that the line crosses the y-axis at the point (0, -7).