Question

Write the equation 2x - 4y = 14 in slope-intercept form, and then find the slope and y-intercept.

Answer 1

y = 1/2x - 7/2

Slope: 1/2

Y-intercept: (0, -7/2)

Explanation:

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.

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

-4/-4 = -2/-4 + 14/-4

y = 1/2 -7/2

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