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3 years ago

Can someone pls tell me how to graph to find the solution?

Mathematics

1 answer:

Bas_tet [7]3 years ago

3 0

Answer:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

Step-by-step explanation:

sorry if wrong

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3 years ago

Write the equation of a line that is parallel to the given line and passes through the given point.

rodikova [14]

Answer:

$y=\frac{1}{3}x +5$

Step-by-step explanation:

Linear equations are typically formatted in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

Parallel lines will always have the same slope. Therefore, this line will also have a slope of $\frac{1}{3}$ . Plug this into our equation:

$y=\frac{1}{3} x+b$

2) Determine the y-intercept (b)

To solve for the y-intercept (b), plug the given point (-3,4) into our equation and isolate b.

$4=\frac{1}{3}(-3)+b\\4=\frac{-3}{3}+b\\4=-1+b$

Add 1 to both sides

$4+1=-1+b+1\\5=b$

Therefore, the y-intercept is 5. Plug this back into our original equation with the slope:

$y=\frac{1}{3}x +5$

I hope this helps!

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3 years ago

Can someone pls tell me how to graph to find the solution?​

Can someone pls tell me how to graph to find the solution?