Find the line's slope and a point on the line. y+5=-(3)/(2)(x-1)

Rewrite equation in slope-intercept form: Rewrite the equation in slope-intercept form (y = mx + b), where m is the slope. y + 5 = -(3/2)(x - 1) y = -(3/2)(x - 1) - 5 Distribute slope across expression: Distribute the slope -(3/2) across (x - 1). y = -(3/2)x + (3/2) - 5 Combine like terms. y = -(3/2)x - (7/2) Identify slope from equation: Identify the slope (m) from the equation y = mx + b. Slope m = -(3/2) Find point on the line: Find a point on the line by substituting x = 1 into the equation. y = -(3/2)(1) - (7/2) y = -(3/2) - (7/2) y = -10/2 y = -5

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Find the line's slope and a point on the line.

y+5=-(3)/(2)(x-1)

Find the line's slope and a point on the line. $\newline$ $y+5=-\frac{3}{2}(x-1)$

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Q. Find the line's slope and a point on the line.

\newline

y+5=-\frac{3}{2}(x-1)

Rewrite equation in slope-intercept form: Rewrite the equation in slope-intercept form $y = mx + b$ , where $m$ is the slope. $y + 5 = -\left(\frac{3}{2}\right)(x - 1)$ $y = -\left(\frac{3}{2}\right)(x - 1) - 5$
Distribute slope across expression: Distribute the slope $-\frac{3}{2}$ across $(x - 1)$ . $y = -\frac{3}{2}x + \frac{3}{2} - 5$ Combine like terms. $y = -\frac{3}{2}x - \frac{7}{2}$
Identify slope from equation: Identify the slope $m$ from the equation $y = mx + b$ . $\newline$ Slope $m = -\left(\frac{3}{2}\right)$
Find point on the line: Find a point on the line by substituting $x = 1$ into the equation. $\newline$ $y = -\left(\frac{3}{2}\right)(1) - \left(\frac{7}{2}\right)$ $\newline$ $y = -\left(\frac{3}{2}\right) - \left(\frac{7}{2}\right)$ $\newline$ $y = -\frac{10}{2}$ $\newline$ $y = -5$