Answer:
see the attachments for the graphs
1. y = 1/4x +4 1/4
2. y = -5/9x +7/9
Step-by-step explanation:
The relevant formulas are ...
m = (y2 -y1)/(x2 -x1) . . . . . slope of line through points (x1, y1), (x2, y2)
b = y -mx . . . . . . . . . . . . . y-intercept of a line with slope m through point (x, y)
y = mx + b . . . . . . slope-intercept equation of the line
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1.
Points (3, 5), (-1, 4)
m = (4 -5)/(-1 -3) = -1/-4 = 1/4
b = 4 -(1/4)(-1) = 4 1/4
Equation of the line: y = 1/4x + 4 1/4
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2.
Points (-4, 3), (5, -2)
m = (-2-3)/(5 -(-4)) = -5/9
b = 3 -(-5/9)(-4) = 3 -20/9 = 7/9
Equation of the line: y = -5/9x +7/9
