To find the x-intercept, substitute in <span>00</span> for <span>yy</span> and solve for <span>xx</span>.<span><span><span>(0)</span>=7x−5</span><span><span>(0)</span>=7x-5</span></span>Rewrite the equation as <span><span>7x−5=0</span><span>7x-5=0</span></span>.<span><span>7x−5=0</span><span>7x-5=0</span></span>Since <span><span>−5</span><span>-5</span></span> does not contain the variable to solve for, move it to the right side of the equation by adding <span>55</span> to both sides.<span><span>7x=5</span><span>7x=5</span></span>Divide each term by <span>77</span> and simplify. <span><span>x=<span>57</span></span><span>x=<span>57</span></span></span>To find the y-intercept, substitute in <span>00</span> for <span>xx</span> and solve for <span>yy</span>.<span><span>y=7<span>(0)</span>−5</span><span>y=7<span>(0)</span>-5</span></span>Solve the equation. <span><span>y=−5</span><span>y=-5</span></span>These are the <span>xx</span> and <span>yy</span> intercepts of the equation <span><span>y=7x−5</span><span>y=7x-5</span></span>.x-intercept: <span><span>(<span>57</span>,0)</span><span>(<span>57</span>,0)</span></span>y-intercept: <span>(0,−5<span>)</span></span>
