Question

Graph a line with slope 2 passing through the points (-3,5)

Answer 1

Answer:

The graph of line whose equation is; y = 2x + 11

Step-by-step explanation:

The line has a slope of 2.

It passes through points (-3,5)

Taking another point (x,y) on the line;

Slope = change in y ÷ change in x

Slope = $\frac{y-5}{x--3}$ = 2

y - 5 = 2x + 6

y = 2x + 11 (the equation of the line)

*Graphed as attached.

Answer 2

The standard equation of a line in slope-intercept form is expressed as:

y - y0 = m(x-x0)

m is the slope of the line

(x0, y0)  is the point on the line

Given the following parameters

m = 2

(x0, y0) = (-3, 5)

Substitute the given parameters into the formula

y - 5 = 2(x + 3)

y - 5 = 2x + 6

y - 2x = 11

Plot the graph of the equation y - 2x = 11 as shown:

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