Respuesta :
Answer:
(0, -5) (10/3, 0)
Step-by-step explanation:
First, convert the given equation into the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
3x - 2y = 10
2y = 3x - 10
y = 3/2x - 5
The y-intercept is -5.
Next, to find the x-intercept, let y = 0 and solve for x. X-intercept is the point where the graph intersects the x-axis, so the y-coordinate of x-intercepts are always 0.
3x - 2*0 = 10
3x - 0 = 10
3x = 10
x = 10/3
X-INTERCEPT
Plug y=0 into the equation and solve the resulting equation 3x=10 for x.
The x-intercept:
[tex]\left(\frac{10}{3},0\right)\approx \left(3.33333333333333,0\right)[/tex]
Y-INTERCEPT
Plug x=0 into the equation and solve the resulting equation −2y=10 for y.
The y-intercept:
[tex]\left(0, -5\right)[/tex]
