Question

Write the equation of the line that contains the given point and has the given slope.

Point: (46, 45), Slope: 2.5
a) y = 2.5x + 45
b) y = 2.5x - 45
c) y = 45x + 2.5
d) y = 45x - 2.5

Answer 1

The equation of the line is y = 2.5x - 70.

Step-by-step explanation:

To find the equation of a line that contains a given point and has a given slope, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the given slope.

Using the point (46, 45) and slope 2.5, we can plug these values into the equation:

y - 45 = 2.5(x - 46)

Simplifying, we get:

y - 45 = 2.5x - 115

Finally, rearranging the equation, we obtain:

y = 2.5x - 70

Therefore, the equation of the line that contains the point (46, 45) and has a slope of 2.5 is y = 2.5x - 70.