Answer:
y = -5x + 4
Step-by-step explanation:
slope = -5x
y-intercept = 4
y = mx + b --> slope intercept formula
y = -5x + 4 --> final solution
9/-1.........................
5y+2x=10<span />y=<span><span>−25</span></span>x+2<span /><span>2</span><span>4</span><span>6</span><span>8</span><span>10</span><span>−2</span><span>−4</span><span>−6</span><span>−8</span><span>−10</span><span>2</span><span>4</span><span>6</span><span>8</span><span>10</span><span>−2</span><span>−4</span><span>−6</span><span>−8</span><span>−10</span>Let's solve for x.<span><span><span>5y</span>+<span>2x</span></span>=10</span>Step 1: Add -5y to both sides.<span><span><span><span>2x</span>+<span>5y</span></span>+<span>−<span>5y</span></span></span>=<span>10+<span>−<span>5y</span></span></span></span><span><span>2x</span>=<span><span>−<span>5y</span></span>+10</span></span>Step 2: Divide both sides by 2.<span><span><span>2x</span>2</span>=<span><span><span>−<span>5y</span></span>+10</span>2</span></span><span>x=<span><span><span><span>−5</span>2</span>y</span>+5</span></span>Answer:<span>x=<span><span><span><span>−5</span>2</span>y</span>+<span>5
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The first thing you always do with equations like these is get the y alone by moving everything to the other side. Once this is done, you take the opposite reciprocal of the slope. For example, number a, when you have y alone, is y=-1x+2. So the opposite reciprocal of the slope would be just 1, so the resulting equations would be y=1x+2.