Answer:
Distance: 6.7
Step-by-step explanation:
y = -2x
If x is=0, y = 0 and if y is 0, x is = 2
(-1,6) and (2,0)
Sqrt[(2 - - 1)^2 + (0 -6)^2] =
Sqrt (3)^2 + (-6)^2 =
Sqrt 45 = 6.7
Answer:
distance from the point to the line is, d = 1.34
Step-by-step explanation:
equation of the line is, y = -2x
2x + y = 0
point given is, (-1, 6)
distance from the point to the line is given as,
d = |Ax1 + By1 + C| / √A² + B²
standard form of equation of line is:
Ax + By + C = 0
where, A = 2, B = 1, C = 0
and the point is, x1, y1 = -1, 6
by substituting the values in the formula,
d = |2(-1) + 1(-1) + 0| / √2² + 1²
= |-2 - 1 + 0| / √4 + 1
= |-3| / √5
= 3/2.24
thus, d = 1.34
The slope-intercept form of the given line, expressed in point-slope form as y - 4 = (x - 8), is y = x - 4. This indicates a slope of 1 and a y-intercept of -4.
The point-slope form of the equation of the line, y – 4 = (x – 8), illustrates a line passing through the point (8, 4) with a specific slope. The slope is the difference in the y-coordinates divided by the difference in the x-coordinates, as illustrated in the given figures.
In general, the equation of a straight line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept, i.e., the value of y when x is zero.
To convert the original equation into slope-intercept form, rearrange it by solving for y. First, rewrite the equation as y - 4 = x - 8, then add 4 to each side to isolate y:
y = x - 8 + 4
y = x - 4
So, the slope-intercept form of the equation for this line is y = x - 4, implying the line has a slope (m) of 1 and a y-intercept (b) of -4.
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Assuming the base prices of the T-shirts and the jeans are the same on both occasions, and ignoring the taxes, the price of a T-shirt is $ and the price of a pair of jeans is $.