Aline passes through the points (–3, –4) and (6, 2).what is the x-intercept of this line?

Point-Slope form:

The equation of line is given by:

where,

m is the slope of the line and is the point on the line.

As per the statement:

A  line passes through the points (–3, –4) and (6, 2).

Using slope formula:

then;

Substitute the given values and m = 2/3 we have;

⇒

We have to find the  x-intercept of this line.

x-intercept:

Substitute y =0 and solve for x:

then;

⇒

⇒

Multiply both sides by 3 we have;

Subtract 3 from both sides we have;

3 = x

or

x = 3

therefore, the x-intercept of this line is, 3

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x