The slope-intercept form passing through point (-2 , -4 ) and slope = 7 is y = 7x + 10
We have been given that the line passes through the point (-2 , -4) , that is ,
(x1 , y1) = (-2 , -4)
And also slope = 7
Or, m = 7 where m denotes the slope of the line.
Now, when a point and slope is given the slope-intercept form is written as:
y – y1 = m(x – x1) (1)
Now putting the required values in equation (1), we get
y – (-4) = 7[x – (-2)]
y + 4 = 7[x + 2]
y + 4 = 7x + 14
y = 7x + 14 - 4
y = 7x + 10
Hence the required equation is y = 7x + 10
Learn more about slope-intercept form here : https://brainly.com/question/19440459
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