Question

Which equation in standard form has a graph that passes through the point (0,-5) and has a slope of 3/4?

A. 3x+4y=-20

B. 3x-4y=20

C. 4x+3y=20

D. 4x-3y=-20

Answer 1

The standard equation of the line is:

$3x - 4y = 20$, option B.

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In slope-intercept form, the equation of a line is given by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change.
• b is the y-intercept, which is the value of y when x = 0.

In standard form, the equation of the line is:

$y - mx = b$

Without fractions.

In this problem:

• Slope of 3/4 means that $m = \frac{3}{4}$
• Point (0, -5) means that when $x = 0, y = -5$, and thus, $b = -5$

Thus, the equation is:

$y = mx + b$

$y = \frac{3}{4}x - 5$

Multiplying everything by 4:

$4y = 3x - 20$

$4y - 3x = -20$

$3x - 4y = 20$, option B.

A similar problem is given at https://brainly.com/question/24818961