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$Write the equation of a line in slope-intercept form with the given slope that passes through the given point. m=-(5)/(2);(3,-6) on 35 The equation of the line is ◻ ◻. (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)$

Write the equation of a line in slope-intercept form with the given slope that passes through the given point. $\newline$ $m=-\frac{5}{2} ;(3,-6)$ $\newline$ on $35$ $\newline$ The equation of the line is $\square$ $\square$ . $\newline$ (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

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Math Problems

Grade 8

Write a linear equation from a slope and a point

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Q. Write the equation of a line in slope-intercept form with the given slope that passes through the given point.

\newline

m=-\frac{5}{2} ;(3,-6)

\newline

35

\newline

The equation of the line is

\square

\square

\newline

(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

Question Prompt: Question prompt: Write the equation of a line in slope-intercept form with the given slope that passes through the given point.
Slope-Intercept Form: Slope-intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Given Slope and Point: Given slope $m$ is $-\frac{5}{2}$ and the point is $(3, -6)$ .
Plug Point into Equation: Plug the point $(3, -6)$ into the slope-intercept equation to find $b$ : $-6 = -\left(\frac{5}{2}\right)\cdot 3 + b$ .
Calculate $b$ : Calculate $b$ : $-6 = -\left(\frac{15}{2}\right) + b$ .
Add to Solve for b: Add $(\frac{15}{2})$ to both sides to solve for b: $b = -6 + (\frac{15}{2})$ .
Simplify $b$ : Simplify $b$ : $b = -\frac{12}{2} + \frac{15}{2}$ .
Finish Calculating b: Finish calculating b: $b = \frac{3}{2}$ .
Write Final Equation: Write the final equation using the slope $m = -\frac{5}{2}$ and y-intercept $b = \frac{3}{2}$ : $y = -\frac{5}{2}x + \frac{3}{2}$ .