Point Slope Trivia Quiz

Explanation
The equation in point slope form is y + 16 = 6(x + 4). This is because the point slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the slope is 6 and the point is (-4, -16), so the equation becomes y - (-16) = 6(x - (-4)), which simplifies to y + 16 = 6(x + 4).

Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is given as 1/4. We can substitute this value into the equation as m to get y = 1/4x + b. To find the value of b, we can use the given point (5, -2). By substituting x = 5 and y = -2 into the equation, we can solve for b. After substituting the values, we get -2 = 1/4(5) + b. Simplifying the equation gives us -2 = 5/4 + b. By rearranging the equation, we find b = -2 - 5/4 = -8/4 - 5/4 = -13/4. Therefore, the equation of the line is y = 1/4x - 13/4.

Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -2/3. The line passes through the point (6, 1), so we can substitute these coordinates into the equation to solve for b. Plugging in the values, we get 1 = (-2/3)(6) + b. Simplifying, we find b = 5. Therefore, the equation of the line is y = -2/3x + 5.

Explanation
The equation of a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -4/7. The point (0, -3) is given, which represents the y-intercept. Therefore, the equation of the line can be written as y = -4/7x - 3.

Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, the slope is -3 and the line passes through the point (-1, 3). Plugging these values into the point-slope form equation, we get y - 3 = -3(x - 1). Simplifying this equation gives us y - 3 = -3x + 3, which matches the given answer.