What is the slope and intercept of $2 x + 4 y = 14$ $2x+4y = 14$ ?

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Answer 1 · 2016-12-18T17:38:22

slope = - 1/2 and y-intercept = 7/2

We know the slope-intercept form of an equation of a line

is y = mx + c where slope is m and y-intercept is c.

Here, we have to form 2x + 4y = 14 as per y = mx + c.

So, 4y = +(-2)x + 14 [divide both sides by 4]

or, $\frac{4}{4} \cdot y = - \frac{2}{4} \cdot x + \frac{14}{4}$ $4/4*y = -2/4*x +14/4$

or, $y = - \frac{1}{2} \cdot x + \frac{7}{2}$ $y = -1/2*x + 7/2$

Hence the slope = - 1/2 and y-intercept = 7/2.

What is the slope and intercept of 2x+4y = 142x+4y=142x+4y = 14?