Write an equation in slope-intercept form with a slope of 7 and a y-intercept of - 3.
1 answer:
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Applying the trigonometric ratios, the equations that can be used are:
sin 45 = BC/9
cos 45 = BC/9
<h3>How to Apply the Trigonometric Ratio?</h3>In the given image below, to find the unknown lengths of the triangle, we would apply the following trigonometric ratios:
To find AC, use the cosine ratio, CAH.
To find BC, use the sine ratio, SOH.
sin 45 = opp/hyp = BC/9
sin 45 = BC/9
cos 45 = adj/hyp = BC/9
cos 45 = BC/9
Learn more about the trigonometric ratios on:
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The glide translation and the reflection over x-axis are illustrations of transformation
The new ordered pairs for P'and S'are (x - 2, -y)
<h3>How to determine the new ordered pairs?</h3>The given parameters are:
Glide translation (x-2, y)
Reflection over x axis
Assume the coordinates of point P and S are (x,y)
When translated, the new points would be:
(x-2, y)
The rule of reflection over the x-axis is:
So, we have:
Hence, the new ordered pairs for P'and S'are (x - 2, -y)
Read more about transformation at:
Answer:
Step-by-step explanation:
1) if the required straight line is 'l', the given point is A(a;b), then the required equation of line can be written in form:
where (x₁;y₁) is other point B, which belongs to the 'l';
2) from the equation it is possible to detect the coordinates of the perpendicular, they are (x₁-a;y₁-b);
3) if the given perpendicular is ax+by=5, then the coordinates of the vector (a;b) are coordinates of the vector, which belongs to the required line 'l', and then: x₁-a=a and y₁-b=b;
4) if to substitute the a=x₁-a and b=y₁-b into the required equation of line 'l', then:
5) finally, the equation is: ay=bx, or y=b/a *x (slope-interception form).
note: the suggested solution is not the only way.