175,250 views
35 votes
35 votes
Can someone lend a hand?

Can someone lend a hand?-example-1
User CharlieB
by
2.9k points

2 Answers

12 votes
12 votes

Answer:

B. y=-0.5x + 1

Explanation:

first look at the slope: slop = rise over run. for every 2 units right, the point goes 1 unit down. so the slope if -1/2 or -0.5

next look at the y-intercept. the y-intercept of this graph is 1

plug these into the equation y= mx + b to get y = -0.5x + 1

User Xmetal
by
3.4k points
23 votes
23 votes

Answer:

A. y = -0.5x + 1

Explanation:

Hello!

An equation of a line is written in slope-intercept form:
y = mx + b

  • y = output, y-value, ordinate
  • m = slope, rise over run, rate of change
  • x = input, x-value, abscissa
  • b = y-intercept, starting value

Y-intercept

The y-intercept is found when x=0, or then the line crosses the y-axis.

Over here, we can see that the line crosses the y-axis at point (0,1), so the y-intercept is positive 1.

Slope

Slope is calculated by rise over run, or the ratio of how much the graph rises over how much the graph runs. Use points to determine how the graph changes. (For simple calculations, use integer points, such as (0,1) and (0,2)


  • \frac{\text{rise}}{\text{run}}

  • (-1)/(2)

  • -0.5

Now that we have the slope and the y-intercept, we can plug those values to make our equation.


  • y = mx + b

  • y = -0.5x + 1

The correct answer is Option A. y = -0.5x + 1

User Mac Adada
by
2.8k points