Please help I’m stuck

Final answer:

The equation of the line that passes through the points (2,1) and (6,-5) is y = -3/2x + 4. This is calculated using the formula for a line y - y1 = m(x - x1) and the formula for slope.

Explanation:

In order to find the equation of the line passing through the points (2,1) and (6,-5), we can use the formula for a line y - y1 = m(x - x1). Here, m is the slope of the line. We can calculate the slope using the formula (y2 - y1) / (x2 - x1). Thus, for the points (2,1) and (6,-5), the slope m is (-5 - 1) / (6 - 2) = -6/4 = -3/2. We can substitute one pair of points and the slope into the line equation. Let's use (2,1). The equation of this line is then y - 1 = -3/2 * (x - 2). Simplifying, we get the equation of the line to be y = -3/2x + 4.

Learn more about Equation of a Line here:

brainly.com/question/33578579

#SPJ2

The quadratic expression (x+4)² = x² + 8x + 16.  

The given expression is,

(x+4)²

The expression (x+4)² represents a mathematical operation called "squaring."

To expand it, we need to multiply the expression by itself.

So, (x+4)² becomes (x+4) * (x+4).

When we multiply these terms, we apply the distributive property and combine like terms.

After simplifying, we get x² + 8x + 16.

Or we can directly use the identity,

(a+b)² = a² + b² + 2ab

Here a = x and b = 4

(x+4)² = x² + 4² + 8x

Hence,

(x+4)² = x² + 8x + 16    

To learn more about quadratic equation visit:

brainly.com/question/30098550

#SPJ6

Answer:

5

Step-by-step explanation:

To find the x-intercept of the line 4x+11y=20, we need to set y=0 and solve for x. This is because the x-intercept is the point where the line crosses the x-axis, which is the point where y=0.

First, substitute y=0 into the equation: 4x+11(0)=20

Simplify: 4x=20

Solve for x: x=5

Therefore, the x-intercept of the line 4x+11y=20 is 5.