(3,1) (9,3) (27,9) for anybody wondering the points since they weren't in parentheses.
y= 1/3x
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you should know this Find the difference of the y values over the difference in your x values to find the slope. Put it into the slope intercept form of the equation with one of the points substituted in and find the intercept. Rewrite the equation with the slope and the intercept. (-9-0)/(-3-0)=-9/-3=3 The slope. 27=3(9)+b 27=27+b 0=b Equation-> y=3x
If: y = -5x+3 then the points are (2, -7) and (6, -27)
27 and 75
Put the equation of the given line into slope-intercept form. The slope is then the coefficient of x. -5x + 8y = 27. 8y = 5x + 27 y = 5/8 x + 33/8.........so the slope of a parallel line is the same i.e. 5/8 Now use the standard slope-intercept equation , y = mx + c, where m is the slope and c is the y-intercept. Substituting the ordered pair values for x and y, and as m is known - this gives, -3 = 5/8(-7) + c : -3 = -43/8 + c : c = 13/8 The equation of the parallel line is thus, y = 5/8x + 13/8 and multiplying throughout by 8 produces an equivalent equation, 8y = 5x + 11
To solve for b in the equation b + 15 = 27, you need to isolate b on one side of the equation. To do this, you can subtract 15 from both sides of the equation. This gives you b = 27 - 15, which simplifies to b = 12. Therefore, b equals 12 in the given equation.