Question

A line contains the points (-4, 5) and (3, -9). Write the equation of the line using slope-intercept form.

A.y=-2x-3
B. y=2x-15
C.
1
y=--x+3
2
D.
lease select the best answer from the choices provided
1
y=-x7
A
B
C
n
56:24

Answer 1

To write the equation of a line using slope-intercept form, find the slope and y-intercept. The equation of the line is y = -2x + 3.

Step-by-step explanation:

To write the equation of a line using slope-intercept form, we need to find the slope and the y-intercept of the line. The slope of a line can be found using the formula: m = (y2 - y1)/(x2 - x1). Let's calculate the slope using the given points.

Using the points (-4, 5) and (3, -9), we have: m = (-9 - 5)/(3 - (-4)) = -14/7 = -2. The slope of the line is -2.

Now, using the slope and one of the given points, we can find the y-intercept. Let's choose the point (-4, 5) and substitute the values into the slope-intercept form: y = mx + b. We have: 5 = -2*(-4) + b. Solving for b, we get: b = 3.

Therefore, the equation of the line in slope-intercept form is: y = -2x + 3, which is option A.

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