Respuesta :

We can actually make two equations here, slope-intercept form and point slope form. Firstly, we need to find the slope. We do that by finding the difference of the y coordinates, and then dividing that by the difference of the x coordinates. 3-(-4)/1-0 is 7. Our slope is 7, slope is m.

Point slope form is y - y1 = m(x - x1). We only need to worry about y1 and x1. Let’s plug our x and y values in. y - (-4) = 7(x - 0). Next, we should simplify this. y + 4 = 7x. Next, we need to isolate y. We do this by subtracting four from both sides. y = 7x - 4

Our point slope form equation is y - (-4) = 7(x-0), and our slope-intercept form is y = 7x - 4. Keep in mind that 7 is our slope, or m, and -4 is our y-intercept.
abidemiokin

The graph of a line passes through the points (0, -4) and (1, 3), the equation of the line is y = 7x - 4

How to find the equation of a line

The line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b

  • m is the slope
  • b is the y-intercept

Find the slope

Slope = 7/1
Slope = 7

Determine the y-intercept

Since the y-intercept is the point where the line cross the y-axis, hence b = -4.

FInd the required equation

y = 7x - 4

Hence if the graph of a line passes through the points (0, -4) and (1, 3), the equation of the line is y = 7x - 4

Learn more on equation of a line here: https://brainly.com/question/18831322

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