Respuesta :
Answer:
y = 2.5x + 160
Step-by-step explanation:
b = 45 - (2.5)*(-46)
b = 45 + 160
b = 205
The equation of the line is:
[tex]y - 45 = 2.5(x + 46)[/tex]
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The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which:
- The slope is m.
- The point is [tex](x_0, y_0)[/tex].
We are given:
- Slope of 2.5, thus [tex]m = 2.5[/tex]
- Point (-46, 45), thus [tex]x_0 = -46, y_0 = 45[/tex].
Then:
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 45 = 2.5(x - (-46))[/tex]
[tex]y - 45 = 2.5(x + 46)[/tex]
A similar problem is given at https://brainly.com/question/13967935
