Question

Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3 a. x-intercept is ( 3, 0) y-intercept is (0, negative StartFraction 3 Over 7 EndFraction) c. x-intercept is (0, negative StartFraction 3 Over 7 EndFraction) y-intercept is ( 3, 0) b. x-intercept is (negative StartFraction 3 Over 7 EndFraction, 0) y-intercept is (0, 3) d. x-intercept is (3, 0) y-intercept is (negative StartFraction 3 Over 7 EndFraction, 0)

Answer 1

The y-intercept of the equation y = 7x + 3 is at (0, 3), and it is found by setting x to zero. The x-intercept is at (-3/7, 0), which is found by setting y to zero and solving for x.

Step-by-step explanation:

To determine the x-intercept and y-intercept of the graph of the equation y = 7x + 3, one needs to understand where the graph crosses the x-axis and y-axis respectively.

The y-intercept occurs where the line crosses the y-axis, which is when x is zero. For the equation y = 7x + 3, we can find the y-intercept by substituting x with 0, giving us y = 7(0) + 3, which simplifies to y = 3. Thus, the y-intercept is at (0, 3).

To find the x-intercept, we need to determine where the line crosses the x-axis, which occurs when y is zero. Setting y to zero gives us 0 = 7x + 3. Solving for x, we subtract 3 from both sides and then divide by 7: x = -3/7. Therefore, the x-intercept is at (-3/7, 0).

Answer 2

x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Step-by-step explanation:

Given the function y = 7x + 3

The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:

0 = 7x + 3

7x + 3 = 0

7x = -3

x = -3/7

Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:

y = 7(0) + 3

y = 0 + 3

y = 3

Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)