Write an equation in point-slope form for the line through the given point with the given slope. (–10, –6); m = (1 point) Responses y – 6 = (x – 10) y – 6 = Image with alt text: negative five-eighths ( x – 10) y – 6 = (x + 10) y – 6 = Image with alt text: negative five-eighths ( x + 10) y + 6 = (x + 10) y + 6 = Image with alt text: negative five-eighths ( x + 10) y + 10 = (x + 6)
y + 6 = (x + 10)
The equation in point-slope form for the line through the point (-10, -6) with a slope of -5/8 is:
y + 6 = (-5/8)(x + 10)
To write the equation of a line in point-slope form, we need to know the slope of the line and a point that lies on the line.
Given that the point is (-10, -6) and the slope is 1, we can use the point-slope formula:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope.
Plugging in the values, we get:
y - (-6) = 1(x - (-10))
Simplifying:
y + 6 = x + 10
So, the equation in point-slope form for the line through the given point (-10, -6) with slope m = 1 is:
y + 6 = x + 10