Question

Choose the correct x-intercept and y-intercept of the equation x + 2y = 4. (2 points)
x-intercept: (0, 2), y-intercept: (4, 0)
x-intercept: (2, 0), y-intercept: (4, 0)
x-intercept: (0, 4), y-intercept: (2, 0)
x-intercept: (4, 0), y-intercept: (0, 2)

Answer 1

Rewrite the equation in terms of x only:
\[x + 2y = 4\]
\[2y = 4 - x\]
\[y = -\frac{1}{2}x + 2\]
This is general equation that is slightly different from slope-intercept form:
\[y - a = mx - b\]
Where a is the y-intercept and b is the x-intercept.
Can you take it from here?

Answer 2

Forgot to mention that m is the slope.