The rate of change of a linear equation (first degree) is equivalent to the slope of a line. Slope is described as the vertical movement (rise) of the line over its horizontal counterpart (run). In determining the rate of change or slope (m) given 1 data point (x',y'), point-slope form is applicable. Point-slope form is: (y-y') = m (x-x'). Substitute the given point (-5,-1) in the equation. By substitution, [y-(-1)] = m [x-(-5)]. Re-arranging the equation, the rate of change or slope is, m = (y+1)/(x+5).
Let's simplify step-by-step.<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>−<span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span>
Distribute the Negative Sign:<span>=<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span>3<span>x2</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>5x</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(2)</span></span></span>+<span><span>−1</span><span>(<span>5<span>x5</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>3<span>x4</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+</span>−<span>3<span>x2</span></span></span>+<span>5x</span></span>+</span>−2</span>+</span>−<span>5<span>x5</span></span></span>+</span>−<span>3<span>x4</span></span></span></span>
Combine Like Terms:<span>=<span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+<span>−7</span></span>+<span>−<span>4x</span></span></span>+<span>−<span>3<span>x2</span></span></span></span>+<span>5x</span></span>+<span>−2</span></span>+<span>−<span>5<span>x5</span></span></span></span>+<span>−<span>3<span>x4</span></span></span></span></span><span>=<span><span><span><span><span><span>(<span><span>x5</span>+<span>−<span>5<span>x5</span></span></span></span>)</span>+<span>(<span>−<span>3<span>x4</span></span></span>)</span></span>+<span>(<span>6<span>x3</span></span>)</span></span>+<span>(<span><span>2<span>x2</span></span>+<span>−<span>3<span>x2</span></span></span></span>)</span></span>+<span>(<span><span>−<span>4x</span></span>+<span>5x</span></span>)</span></span>+<span>(<span><span>−7</span>+<span>−2</span></span>)</span></span></span><span>= <span><span><span><span><span><span>−<span>4<span>x5</span></span></span>+<span>−<span>3<span>x4</span></span></span></span>+<span>6<span>x3</span></span></span>+<span>−<span>x2</span></span></span>+x</span>+<span>−9</span></span></span>
Answer:<span>=<span><span><span><span><span><span> −<span>4<span>x5</span></span></span>−<span>3<span>x4</span></span></span>+<span>6<span>x3</span></span></span>−<span>x2</span></span>+x</span>−<span>9</span></span></span>
21 because the 9 is equal to 2 and don’t forget to carry the 5
Answer:
Step-by-step explanation:
the 1 one is the right one