Find a point on the line and the line's slope. y+4=(1)/(4)(x+5)

Rewrite Equation: Rewrite the equation in slope-intercept form (y = mx + b) to identify the slope and a point. y + 4 = (1/4)(x + 5) y = (1/4)x + (1/4)5 - 4 y = (1/4)x + 1.25 - 4 y = (1/4)x - 2.75Identify Slope: Identify the slope from the equation y = (1/4)x - 2.75. The coefficient of x, which is 1/4, is the slope.Find Point: Choose x = 0 to find a corresponding y-value for a point on the line. Substitute x = 0 into y = (1/4)x - 2.75. y = (1/4)(0) - 2.75 y = -2.75 So, the point (0, -2.75) lies on the line.

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

y+4=(1)/(4)(x+5)

Find a point on the line and the line's slope. $\newline$ $y+4=\frac{1}{4}(x+5)$

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

\newline

y+4=\frac{1}{4}(x+5)

Rewrite Equation: Rewrite the equation in slope-intercept form $y = mx + b$ to identify the slope and a point. $y + 4 = \left(\frac{1}{4}\right)(x + 5)$ $y = \left(\frac{1}{4}\right)x + \left(\frac{1}{4}\right)5 - 4$ $y = \left(\frac{1}{4}\right)x + 1.25 - 4$ $y = \left(\frac{1}{4}\right)x - 2.75$
Identify Slope: Identify the slope from the equation $y = (\frac{1}{4})x - 2.75$ . The coefficient of $x$ , which is $\frac{1}{4}$ , is the slope.
Find Point: Choose $x = 0$ to find a corresponding $y$ -value for a point on the line. $\newline$ Substitute $x = 0$ into $y = \frac{1}{4}x - 2.75$ . $\newline$ $y = \frac{1}{4}(0) - 2.75$ $\newline$ $y = -2.75$ $\newline$ So, the point $(0, -2.75)$ lies on the line.