Question

Find the x- and y-intercepts of the graph of each equation

y = 10 - 2x b. 4y + 9x = 18 c. 6x - 2y = 44 d. 2x = 4 +12y ​

Answer 1

To determine the x-intercept and y-intercept of linear equations, set y to 0 and solve for x to find the x-intercept, and set x to 0 and solve for y to find the y-intercept. The procedure was applied to each of the given equations, resulting in intercepts for each one.

Step-by-step explanation:

To find the x-intercept and y-intercept of a linear equation, you need to identify where the line intersects each axis. For the x-intercept, set y to 0 and solve for x. For the y-intercept, set x to 0 and solve for y.

Let's find the intercepts for each equation given:

1. y = 10 - 2x: x-intercept is when y = 0, so 0 = 10 - 2x gives x = 5. The y-intercept is given directly as y = 10 when x = 0.
2. 4y + 9x = 18: x-intercept is when y = 0, so 9x = 18 gives x = 2. The y-intercept is when x = 0, so 4y = 18 gives y = 4.5.
3. 6x - 2y = 44: x-intercept is when y = 0, so 6x = 44 gives x = 7 1/3. The y-intercept is when x = 0, so -2y = 44 gives y = -22.
4. 2x = 4 + 12y: x-intercept is when y = 0, so 2x = 4 gives x = 2. The y-intercept is when x = 0, so 12y = -4 gives y = -1/3.