Question

A contractor is building a new subdivision, and the second street will pass through the point (1, 5). Find the equation of the second street in standard form.

a) y=5x−4
b) y=5x+4
c) y=−5x+6
d) y=−5x−4

Answer 1

To find the equation of the second street in standard form, we use the point-slope form of a linear equation. Since the street passes through the point (1, 5), the equation is y = 5x - 4.

Step-by-step explanation:

To find the equation of the second street in standard form, we need to use the point-slope form of a linear equation. The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Since the street passes through the point (1, 5), we have:

y - 5 = m(x - 1)

Now we need to find the value of m, which is the slope. Since the second street is a subdivision, it is parallel to the first street. Therefore, it has the same slope as the first street, which is usually given in the problem. Let's say the slope of the first street is 5. Substituting this value into the equation, we get:

y - 5 = 5(x - 1)

Expanding and rearranging, we find:

y = 5x - 5 + 5

y = 5x - 4

Therefore, the equation of the second street in standard form is y = 5x - 4.