[tex]\huge\underline\mathtt\colorbox{orange}{ y = -3 x + 5}[/tex]
Step-by-step explanation:
Find the equation of the line in slope-intercept form with the properties:
point: p_1 = (2, -1)
point: p_2 = (3, -4)
The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):
m = (-4 - (-1))/(3 - 2) = -3
Substitute the slope m = -3 and point (x_1, y_1) = (2, -1) into the point-slope equation y - y_1 = m (x - x_1):
y - (-1) = -3 (x - 2)
Subtract 1 from both sides:
y = -1 - 3 (-2 + x)
Distribute: -3 (x - 2) = 6 - 3 x:
Answer:
y = -3 x + 5
