Question

find the equation of a line whose y intercept is 4 and is parallel to line joining (2,-3) and (4,2)

Answer 1

Answer:

If this helps. mark as brainliest please. Thanks

Step-by-step explanation:

$first \: find \: the \: gradient \\ x1 = 2. \: y1 = - 3. \: x2 = 4. \: y2 = 2 \\ gradient \: = \: \frac{y2 - y1}{x2 - x1} \\ gradient(m) \: = \frac{2 - ( - 3)}{4 - 2} \\ graient(m) \: = \: \frac{2 + 3}{2} \\ gradient(m) \: = \frac{5}{2} \\ \\ eqation \: of \: a \: line \: \\ y = mx + c \\ c \: is \: the \: intercept \: = 4 \\ and \: m \: is \: the \: gradient \: = \: \frac{5}{2} \\ by \: substituting \: the \: values \\ \\ y = \frac{5}{2}x \: + 4 \: \: \: or \: 2y - 5x = 8$