A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3). Which equation represents the graphed function? Group of answer choices y=x – 3 2x – 3 = y y=–x + 2 –3x + 2 = y
2 answers
Question:
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3). Which equation represents the graphed function? Group of answer choices y=x – 3 2x – 3 = y y=–x + 2 –3x + 2 = y
Answers
Answer:[tex]y=\frac{3}{2}x-3[/tex]Step-by-step explanation:we have the points(0,-3),(2,0) and (4,3)step 1 Find the slopeThe formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex] we take(0,-3),(2,0)substitute the values in the formula[tex]m=\frac{0+3}{2-0}[/tex] [tex]m=\frac{3}{2}[/tex] step 2Find the equation of the line in slope intercept form[tex]y=mx+b[/tex]we have[tex]m=\frac{3}{2}[/tex] [tex]b=-3[/tex] -----> the point (0,-3) is the y-interceptsubstitute[tex]y=\frac{3}{2}x-3[/tex]The graph in the attached figure
Answer:CStep-by-step explanation:3/2x – 3 = y
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