There are two straight lines.
Line 1 has a slope of 4 and crosses the Y axis at 7.
Line 2 goes through (2,20) and (- 1, 5) [Hint: m = (V1 - V2)/(x1 - X2) ]
Complete the table:
Line 1
Line 2
X Intercept
Y Intercept
Slope
4
Write the equation for Line 1 (y=mx+b) :
Write the equation for Line 2 (y=mx+b) :
Where do the lines cross each other? (x,y):
Complete the table:
Line 1
X Intercept: -7/4
Y Intercept: 7
Slope: 4
Line 2
X Intercept: 5
Y Intercept: 35
Slope: (5 - 20)/(-1 - 2) = -5
Write the equation for Line 1 (y=mx+b):
y = 4x + 7
Write the equation for Line 2 (y=mx+b):
y = -5x + 35
To find where the lines cross each other, we can set the equations equal to each other and solve for x:
4x + 7 = -5x + 35
9x = 28
x = 28/9
Substituting this value of x into either equation, we can find y:
y = 4(28/9) + 7
y = 112/9 + 63/9
y = 175/9
Therefore, the lines cross each other at approximately (28/9, 175/9).