Answer:
A, C and D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y - intercept )
here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 4) into the partial equation
4 = 3 + c ⇒ c = 4 - 3 = 1
y = - 3x + 1 ← in slope- intercept form → C
Add 3x to both sides
3x + y = 1 ← in standard form → A
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The equation of a line in slope- intercept form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 3 and (a, b) = (- 1, 4), thus
y - 4 = - 3(x + 1) ← in point- slope form → D
