Question

Write the equation for each line. (will give brainlest)

Answer 1

Answer:

y = (5/2)(x + 2).  This is equivalent to y = (5/2)x + 5

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 5).  Going from the first to the second, we see x increasing by 2 and y increasing by 5.  Thus, the slope of this line is m = rise / run = 5/2.

Find the equation of this line in point-slope form y - k = m(x - h) becomes

y - 0 = (5/2)(x + 2), or y = (5/2)(x + 2).  This is equivalent to y = (5/2)x + 5.

Answer 2

Answer:

y = $\frac{5}{2}$x + 5

Step-by-step explanation:

The equation of a line is: y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope using the points (0, 5) and (-2, 0).

Slope = $\frac{5-0}{0-(-2)}$

          = $\frac{5-0}{0+2}$

          = $\frac{5}{2}$

Thus, the slope of the line is $\frac{5}{2}$.

Based on the graph, the y-intercept is 5.

Thus, the equation of the line is: y = $\frac{5}{2}$x + 5.