Answer:
Step-by-step explanation:
1. The slope is 5 passing through (-1, 4).
y=mx+b
y=5x+b [slope is 5]
4 = 5(-1) + b [Find b by solving for b with the given point]
b = 9
y=5x+9
2. The line passes through point (3, -4) and (-2, 2)
Calculate slope from the "rise" over the "run."
Rise = (-4 - 2) = -6
Run = (3-(-2)) = 5
Slope - Rise/Run = -6/5 or -1.2
y = -1.2x + b
Use either given point to find b.
y = -1.2x + b for (3,-4)
-4 = -1.2(3) + b
-4 = -3.6 + b
b = -0.4
y = -1.2x - 0.4
3. The slope is 3/4 and the y-intercept is (0,4)
y = mx + b
y = (3/4)x + b
The y-intercept is 4: b = 4
y = (3/4)x + 4
4. The x intercept -3 and the y-intercept is 6
The x-intercept can be written as (-3,0) and the y-intercept as (0,6).
Calculate the slope between these two points (Rise/Run). Rise= (6-0), or 6, Run= (0-(-3)), or 3. Rise/Run (Slope) = 6/3 or 2
y = 2x + b b = 6 (y-intercept is (0,6)
y = 2x + 6
5. Passing through the points (-1, -2) and (5, 3)
y = mx + b
Slope: Rise = (3-(-2)) = 5, Run = (5-(-1))= 6 Slope = Rise/Run Slope = (5/6)
y = (5/6)x + b
Calculate b:
y = (5/6)x + b for (-1,-2)
b = y-(5/6)x
b =-2-(5/6)*(-1)
b = -2 + (5/6)
b = (-12/6) + (5/6) = -(7/6)
y = (5/6)x - (7/6)
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For each problem, rearrange the solution to the standard form ax + by = c
1. y=5x+9
-5x + y = 9
2. y = -1.2x - 0.4
1.2x + y = -0.4
3. y = (3/4)x + 4
-(3/4)x + y = 5
4. y = 2x + 6
-2x + y = 6
5. y = (5/6)x - (7/6)
-(5/6)x + y = -(7/6)
