Answer:
Explanation:
To write an equation in a point-slope form that passes through the points (–4, 3.3) and (1, –9.7), we can use the following formula:
y - y1 = m(x - x1)
Where m is the slope of the line and (x1, y1) is one of the given points 12.
First, we can find the slope of the line using the two given points:
m = (y2 - y1) / (x2 - x1)
= (-9.7 - 3.3) / (1 - (-4))
= -13 / 5
Therefore, the slope of the line is -13/5.
Next, we can choose one of the given points, say (–4, 3.3), and substitute the values into the formula:
y - y1 = m(x - x1)
y - 3.3 = (-13/5)(x - (-4))
y - 3.3 = (-13/5)(x + 4)
This is the equation of the line in point-slope form.
To write the equation in slope-intercept form, we can simplify the equation by solving for y:
y - 3.3 = (-13/5)(x + 4)
y = (-13/5)x - (52/5) + 3.3
y = (-13/5)x - (13/10)
Therefore, the equation of the line in slope-intercept form is
y = (-13/5)x - (13/10).