Answer:
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that a linear equation in slope-intercept form satisfies the given set of conditions. The slope of –2, passes through (6, –7).
Explanation:
We can use the point-slope form to get this answer.
y - y1 = m(x - x1)
y - y1 = -2(x - x1) plug in the given slope m = -2
y - (-7) = -2(x - 6) plug in the given point (x1,y1) = (6,-7)
y + 7 = -2(x - 6)
y + 7 = -2x + 12
y = -2x+12-7 subtract 7 from both sides
y = -2x+5
This is in y = mx+b form with m = -2 as the slope and b = 5 as the y-intercept.