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Diano4ka-milaya [45]
3 years ago
7

Through (5, -2), parallel to y=-3/4x-4

Mathematics
2 answers:
Stels [109]3 years ago
5 0

Answer:

1.75=b

Step-by-step explanation:

do the equation:

-2=3/4(5)+b

-2=-3.75+b

+3.75 to both sides

1.75=b

Mashcka [7]3 years ago
3 0

Answer:

y=-\frac{3}{4}x+\frac{7}{4}

Step-by-step explanation:

A line going through the point (5,-2) and parallel to y=-\frac{3}{4}x-4.

  • Let's first go over the parent linear equation, y=mx+b.
  1. y is your output value that one would see after inputting an x value into an equation. In the case of the given point, -2 is our y value.
  2. x is a variable that we put into an equation. In the case of the given point for this question, 5 is our x value.
  3. m is our slope for a linear equation. Slope can be represented as a fraction whose numerator is the rise or fall of your line, and the denominator is the run of your line.
  4. b is your y-intercept.
  • If your function is parallel to y=-\frac{3}{4}x-4, then you already know that your slope is m=-\frac{3}{4}. Let's see how this impacts our parent function:

y=mx+b\\y=-\frac{3}{4}x+b

  • Now, how do we find b? This is where the given line comes into play. If our line has to go through the point (5,-2), then let's plug in these values for our x and y, and solve for b.

y=-\frac{3}{4}x+b\\-2=-\frac{3}{4}(5)+b\\ -2=-\frac{15}{4}+b\\-\frac{8}{4}+\frac{15}{4}=b\\  b=\frac{7}{4}

  • Our final equation is:

y=-\frac{3}{4}x+\frac{7}{4}

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