Final answer:
The equation in standard form for the line passing through the points (-3,2) and (-4,10) is 8x + y = -22.
Step-by-step explanation:
The equation in standard form for a line that passes through the points (-3,2) and (-4,10) can be found by first finding the slope of the line using the formula:
slope = (y2 - y1) / (x2 - x1)
Plugging in the values:
slope = (10 - 2) / (-4 - (-3))
Simplifying the equation gives a slope of -8. Using the point-slope form of the equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, we can choose either point (-3,2) or (-4,10) to substitute in. Let's use (-3,2):
y - 2 = -8(x - (-3))
Simplifying the equation further gives:
y - 2 = -8x - 24
Rearranging the equation in standard form, we get:
8x + y = -22