Question

What is the equation of the line that passes through the point (4, 3) and has a slope of? - 3/4

Answer 1

y = -3/4x + 6

Explanation:

We can use the point-slope form of the equation of a line to find the equation of the line that passes through the point (4,3) and has a slope of -3/4.

The point-slope form of the equation of a line is:

y - y1 = m(x - x1)

Where m is the slope of the line, and (x1, y1) is the given point.

Substituting the given values, we get:

y - 3 = (-3/4)(x - 4)

Simplifying, we get:

y - 3 = (-3/4)x + 3

Adding 3 to both sides, we get:

y = (-3/4)x + 6

Answer 2

y = (-3/4)x + 6

Explanation:

The equation of the line that passes through the point (4, 3) and has a slope of -3/4 can be found using the point-slope form of a line:

• y - y_1 = m(x - x_1)

where:

• (x_1, y_1) is the given point and m is the slope.

Substituting the values, we get:

• y - 3 = (-3/4)(x - 4)

Expanding the brackets, we get:

• y - 3 = (-3/4)x + 3

Adding 3 to both sides, we get:

• y = (-3/4)x + 6

Therefore, the equation of the line is y = (-3/4)x + 6.