Question

Write an equation in standard form for a line passing through the pair of points (3, 5) and (-10, 5).

a. y = 5
b. y = 0.4x +4
c. 5x + 3y= 25
d. 2x-3y =15

Answer 1

The equation in standard form for the line passing through the points (3, 5) and (-10, 5) is y = 5.

Step-by-step explanation:

To find the equation in standard form for a line passing through the points (3, 5) and (-10, 5), we need to use the slope-intercept form of a linear equation, which is y = mx + b. The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1). Let's calculate the slope:

m = (5 - 5) / (-10 - 3) = 0 / -13 = 0

Since the slope is 0, the equation has the form y = b. We can choose any value for b, but since the line passes through the point (3, 5), we can use that point to find b:

5 = b

So, the equation in standard form for the line passing through the given points is y = 5 (option a).