What is the equation of the line shown in the graph? Drag and drop the expressions to write the equation of the line in slope-intercept form.

y = Response area + Response area

A function graph of a line with two points (-3,-2) and (-1,2) with an x axis of negative five to five and a y axis of negative five to five

9514 1404 393

  y = 2x + 4

Step-by-step explanation:

You have the graph, so you can read the slope and y-intercept from it. The line goes up 2 units for each unit to the right, so the slope is ...

  slope = rise/run = 2/1 = 2

The y-intercept is where the graph crosses the y-axis, at y=4.

The slope-intercept form of the equation for a line is ...

  y = mx + b

where m is the slope (2) and b is the y-intercept (4). Your equation is ...

  y = 2x +4

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9