Use the given conditions to write an equation for the line in point-slope form. Passing through (2,-3) with x-intercept = -2

The equation for line is

Explanation:

It is given that the line passes through the point with x-intercept = -2

The x intercept is the value of x when y = 0.

Thus, it can be written in coordinate as

Now, we shall determine the slope using the points and

Substituting, we get,

Thus, the slope is

Now, we shall substitute the point and slope in the point-slope formula , we get,

Multiplying both sides by 4, we get,

Subtracting both sides by 12,

Dividing both sides by 4, we get,

Thus, the equation of the line is

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w