Question

PLEASE HELP I DONT UNDERSTAND

Write the equation of the line that passes through the points (1,-5)(1,−5) and (-9,2)(−9,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

To find the equation of the line passing through the points (1, -5) and (-9, 2), we first calculate the slope using the slope formula. We then use the point-slope form of the equation to write the equation of the line. The equation of the line is y = -7/10x - 43/10.

Step-by-step explanation:

To find the equation of the line passing through the points (1, -5) and (-9, 2), we need to calculate the slope first. The slope formula is given by:

m = (y2 - y1) / (x2 - x1)

Substituting the values from the given points:

m = (2 - (-5)) / (-9 - 1) = 7 / -10 = -7/10

Now that we have the slope, we can use the point-slope form of the equation.

y - y1 = m(x - x1)

Picking the point (1, -5),

y - (-5) = -7/10(x - 1)

y + 5 = -7/10x + 7/10

Aligning the terms:

y = -7/10x + 7/10 - 5

y = -7/10x - 43/10

So, the equation of the line passing through the given points is y = -7/10x - 43/10.