Find the x and y intercepts of the line:
−2x+5y=30
Responses
x-intercept is 15; y-intercept is negative 4
x-intercept is 15; y-intercept is negative 4
x-intercept is negative 2; y-intercept is 5
x-intercept is negative 2; y-intercept is 5
x-intercept is 5; y-intercept is negative 5
x-intercept is 5; y-intercept is negative 5
x-intercept is negative 15; y-intercept is 6
To find the x-intercept, we set y = 0 and solve for x. Plugging in y = 0 into the equation −2x+5y=30, we get:
−2x+5(0) = 30
−2x = 30
x = -15
Therefore, the x-intercept is -15.
To find the y-intercept, we set x = 0 and solve for y. Plugging in x = 0 into the equation −2x+5y=30, we get:
−2(0)+5y=30
5y = 30
y = 6
Therefore, the y-intercept is 6.
Therefore, the correct answer is "x-intercept is -15; y-intercept is 6".