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{{ printedBook.courseTrack.name }} {{ printedBook.name }} In order to determine the equation in slope-intercept form, find the slope and the $y$-intercept.The slope is found using the slope formula $m=x_{2}−x_{1}y_{2}−y_{1} ,$ where, for example, $y_{2}$ is the second point's $y$-coordinate. It doesn't matter which point we choose as the first and second. Now, we'll substitute our points into the slope formula.

$m=x_{2}−x_{1}y_{2}−y_{1} $

$m=4−27−(-3) $

SubNeg$a−(-b)=a+b$

$m=4−27+3 $

AddSubTermsAdd and subtract terms

$m=210 $

CalcQuotCalculate quotient

$m=5$

$y=5x+b$

$7=5⋅4+b$

MultiplyMultiply

$7=20+b$

RearrangeEqnRearrange equation

$20+b=7$

SubEqn$LHS−20=RHS−20$

$b=-13$