Question

A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (5,3). Find the slope of the linear function. Write the slope in fraction form.​

Answer 1

Answer:

x - 5y = - 10

Step-by-step explanation:

y = mx + b (b is y-intercept)

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

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x + 4y = 8 ⇔ y = $-\frac{1}{4}$ x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)

(5, 3)

m = $\frac{3-2}{5-0}$ = $\frac{1}{5}$

y = $\frac{1}{5}$ x + 2 (slope-intercept form)

x - 5y = - 10 (standard form)