Question

What is the slope intercept for 7x + 8y = -48

Answer 1

The slope-intercept form for given equation is:

$y = -\frac{7}{8}x-6$

Step-by-step explanation:

Given equation is:

$7x+8y = -48$

The given equation is in standard form. The slope-intercept form is:

$y =mx+b$

Ao, to convert the given equation to slope-intercept form

Subtracting 7x from both sides

$7x-7x+8y = -7x-48\\8y = -7x-48$

Dividing both sides by 8

$\frac{8y}{8} = \frac{-7x-48}{8}\\y=-\frac{7}{8}x-\frac{48}{8}\\y = -\frac{7}{8}x-6$

The slope-intercept form for given equation is:

$y = -\frac{7}{8}x-6$

Keywords: slope-intercept form, Standard form of equation

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