The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have -1/2(x + 4) = y - 2 use distributive property
(-1/2)(x) + (-1/2)(4) = y - 2
-1/2 x - 2 = y - 2 add 2 to both sides
-1/2 x = y → y = -1/2 x + 0
slope: m = -1/2
y-intercept: b = 0
x-intercept for y = 0. Substitute:
-1/2 x = 0 multiply both sides by -2
x = 0
Answer:
slope = -1/2
y-intercept = 0
x-intercept = 0
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2x - y = 4 sutract 2x from both sides
-y = -2x + 4 change the signs
y = -2x + 4
slope: m = -2
y-intercept: b = 4
x-intercept for y = 0. Substitute:
-2x + 4 = 0 subtract 4 from both sides
-2x = -4 divide both sides by -2
x = 2
Answer:
slope = -2
y-intercept = 4
x-intercept = 2