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3 years ago

Write an equation in slope - intercept form, and then find the slope and y- intercept 3x-y=14

Mathematics

1 answer:

NeX [460]3 years ago

3 0

Answer:

slope-intercept form: y = 3x - 14

slope: 3

y-intercept: -14

Step-by-step explanation:

To find the equation in slope-intercept form, isolate the "y" variable by moving everything to the other side. Slope-intercept form looks like y = mx + b.

"x" and "y" mean points that are on the line.

"m" is the slope.

"b" is the y-intercept.

Rearrange the equation to isolate "y"

3x - y = 14

3x - 3x - y = 14 - 3x Subtract 3x from both sides

-y = 14 - 3x Multiply both sides by -1.

y = -14 + 3x Put "3x" in front of "-14" because it has the 'x'

y = 3x - 14 Looks like y = mx + b

State the "m" and "b".

m = 3 (Slope of the line)

b = -14 (y-intercept of the line)

Therefore the equation of the line in slope-intercept form is y = 3x - 14. The slope is 3 and the y-intercept is -14.

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