Question

find the x and y intercepts of this linear equation.
-7x + 2y = 28
x-intercept: (?, )
y-intercept: ( , )

Explanation:

Step1: Find x - intercept (set y = 0)

Substitute \( y = 0 \) into the equation \( -7x + 2y = 28 \):
\( -7x + 2(0) = 28 \)
\( -7x = 28 \)
Divide both sides by -7:
\( x=\frac{28}{-7}=-4 \)
So the x - intercept is \( (-4, 0) \).

Step2: Find y - intercept (set x = 0)

Substitute \( x = 0 \) into the equation \( -7x + 2y = 28 \):
\( -7(0)+2y = 28 \)
\( 2y = 28 \)
Divide both sides by 2:
\( y = \frac{28}{2}=14 \)
So the y - intercept is \( (0, 14) \).

Answer:

x - intercept: \((-4, 0)\)
y - intercept: \((0, 14)\)