What is the slope and y-intercept of the line 3x - 4y = 12?*

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

Answer:

m = 3/4; b = -3

Step-by-step explanation:

1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:

$3x-4y = 12\\-4y = -3x+12\\y = \frac{3}{4} x-3$

2) Lines that are in slope-intercept form are represented by the formula $y = mx + b$ . The number in place of $m$ , or the coefficient of the x-term, represents the slope. The number in place of $b$ represents the y-intercept. So, the slope of $y = \frac{3}{4} x-3$ is $\frac{3}{4}$ , and its y-intercept is -3.

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Please help me really quick pleasee answer choices: a)2 b)11 c)20 d)29

mihalych1998 [28]

Answer:

C. $x=20^{\circ}$

Step-by-step explanation:

Angle 6 and angle with measure 45° are vertical angles (opposite angles whan two lines intersect). By Vertical Angles Theorem, vertical angles are congruent, so

$m\angle 6=45^{\circ}$

Angle 6 and angle with measure $5x+35^{\circ}$ are the same side interior angles when two parallel lines are cut by transversal. The same side interior angles add up to 180°, then

$m\angle 6+5x+35^{\circ}=180^{\circ}\\ \\45^{\circ}+5x+35^{\circ}=180^{\circ}\\ \\5x=180^{\circ}-45^{\circ}-35^{\circ}\\ \\5x=100^{\circ}\\ \\x=20^{\circ}$