Answer:
Y - intercept is 1 , slope is 3
Answer:
Step-by-step explanation:
We need to write the slope intercept form of the equation which passes through (4,-1) and parallel to the line y = -3/4x .
We know that the line parallel to a given line has the same slope . Therefore the slope of the line will be , ( on comparing to Slope Intercept Form ) .
On using point slope form ,
Substitute the respective values ,
Simplify ,
Multiply both sides by 4 ,
Put all terms on same side , i.e. on LHS ,
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> </u><u>the</u><u> line</u><u> </u><u>is </u><u>3x</u><u> </u><u>+</u><u> </u><u>4</u><u>y</u><u> </u><u>-</u><u> </u><u>8</u><u> </u><u>=</u><u> </u><u>0</u><u>. </u>
A circle is a curve sketched out by a point moving in a plane. The measure of the ∠ACB or θ is 50°.
<h3>What is a circle?</h3>
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
In order to solve the problem, we need to draw a line segment AB. Since A is the center of the circle AC and AC both will be the radius of the triangle ΔABC. Since two sides of the triangle are equal, the measure of ∠ABC and ∠ACB will be equal therefore, we can write,
∠ACB + ∠ABC + ∠BAC = 180°
2∠ACB + 80° = 180°
∠ACB = 50°
Hence, the measure of the ∠ACB or θ is 50°.
Learn more about Circle:
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