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graph 3x-4y=-12 using Intercepts
show work please​

Sagot :

MathWiz0001

Step-by-step explanation:

Let's turn the equation into a slope-intercept form equation.

Slope-intercept form: y = mx + b

m = slope.

b = y-intercept.

Divide each side by -4:

[tex] \frac{3x}{ - 4} - \frac{ - 4y}{ - 4} = \frac{ - 12}{ - 4} [/tex]

[tex] - \frac{3}{4} x + y = 3[/tex]

Switch each term:

[tex]y = \frac{3}{4} x + 3[/tex]

-3/4x changes to a positive coefficient as it has switched sides.

Find the Slope and Y-intercept:

Following slope-intercept form, we can identify what the slope and y-intercept is.

m = 3/4

b = 3

The graph starts at point: (0, 3) and the line increases by 3/4.

The slope represents for every 3 (y), x increases by 4.

Points:

(-4, 0)

(-2, 1.5)

(0, 3)

(2, 4.5)

(4, 6)

Graph is shown.

View image MathWiz0001
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